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Finding the Fourth Proportional to 542.24, 813.50 and 157.52

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Solution

The fourth proportional to 542.24, 813.50 and 157.52 is: 236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.24 : 813.50 = 157.52 : x
  2. Step 2: Convert to fraction form
    542.24/813.50 = 157.52/x
  3. Step 3: Cross multiply
    542.24x = 813.50 × 157.52
  4. Step 4: Simplify right side
    542.24x = 128,142.52
  5. Step 5: Solve for x
    x = 128,142.52/542.24
  6. Step 6: Final answer
    x = 236.32

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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.