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Finding the Fourth Proportional to 542.72, 813.98 and 157.88

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Solution

The fourth proportional to 542.72, 813.98 and 157.88 is: 236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.72 : 813.98 = 157.88 : x
  2. Step 2: Convert to fraction form
    542.72/813.98 = 157.88/x
  3. Step 3: Cross multiply
    542.72x = 813.98 × 157.88
  4. Step 4: Simplify right side
    542.72x = 128,507.49
  5. Step 5: Solve for x
    x = 128,507.49/542.72
  6. Step 6: Final answer
    x = 236.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.