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Finding the Fourth Proportional to 815.79, 1,223.67 and 199.50

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Solution

The fourth proportional to 815.79, 1,223.67 and 199.50 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.79 : 1,223.67 = 199.50 : x
  2. Step 2: Convert to fraction form
    815.79/1,223.67 = 199.50/x
  3. Step 3: Cross multiply
    815.79x = 1,223.67 × 199.50
  4. Step 4: Simplify right side
    815.79x = 244,122.17
  5. Step 5: Solve for x
    x = 244,122.17/815.79
  6. Step 6: Final answer
    x = 299.25

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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.