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Finding the Fourth Proportional to 542.28, 813.54 and 157.50

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Solution

The fourth proportional to 542.28, 813.54 and 157.50 is: 236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.28 : 813.54 = 157.50 : x
  2. Step 2: Convert to fraction form
    542.28/813.54 = 157.50/x
  3. Step 3: Cross multiply
    542.28x = 813.54 × 157.50
  4. Step 4: Simplify right side
    542.28x = 128,132.55
  5. Step 5: Solve for x
    x = 128,132.55/542.28
  6. Step 6: Final answer
    x = 236.28

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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.