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Finding the Fourth Proportional to 273.72, 410.24 and 158.24

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Solution

The fourth proportional to 273.72, 410.24 and 158.24 is: 237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 410.24 = 158.24 : x
  2. Step 2: Convert to fraction form
    273.72/410.24 = 158.24/x
  3. Step 3: Cross multiply
    273.72x = 410.24 × 158.24
  4. Step 4: Simplify right side
    273.72x = 64,916.38
  5. Step 5: Solve for x
    x = 64,916.38/273.72
  6. Step 6: Final answer
    x = 237.16

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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.