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Finding the Fourth Proportional to 815.40, 1,223.14 and 238.26

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Solution

The fourth proportional to 815.40, 1,223.14 and 238.26 is: 357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.40 : 1,223.14 = 238.26 : x
  2. Step 2: Convert to fraction form
    815.40/1,223.14 = 238.26/x
  3. Step 3: Cross multiply
    815.40x = 1,223.14 × 238.26
  4. Step 4: Simplify right side
    815.40x = 291,425.34
  5. Step 5: Solve for x
    x = 291,425.34/815.40
  6. Step 6: Final answer
    x = 357.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.