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Finding the Fourth Proportional to 237.40, 355.46 and 123.16

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Solution

The fourth proportional to 237.40, 355.46 and 123.16 is: 184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.40 : 355.46 = 123.16 : x
  2. Step 2: Convert to fraction form
    237.40/355.46 = 123.16/x
  3. Step 3: Cross multiply
    237.40x = 355.46 × 123.16
  4. Step 4: Simplify right side
    237.40x = 43,778.45
  5. Step 5: Solve for x
    x = 43,778.45/237.40
  6. Step 6: Final answer
    x = 184.41

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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.