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Finding the Fourth Proportional to 542.73, 814.03 and 157.98

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Solution

The fourth proportional to 542.73, 814.03 and 157.98 is: 236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.73 : 814.03 = 157.98 : x
  2. Step 2: Convert to fraction form
    542.73/814.03 = 157.98/x
  3. Step 3: Cross multiply
    542.73x = 814.03 × 157.98
  4. Step 4: Simplify right side
    542.73x = 128,595.60
  5. Step 5: Solve for x
    x = 128,595.60/542.73
  6. Step 6: Final answer
    x = 236.94

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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.