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Finding the Fourth Proportional to 495.18, 742.89 and 187.11

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Solution

The fourth proportional to 495.18, 742.89 and 187.11 is: 280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.18 : 742.89 = 187.11 : x
  2. Step 2: Convert to fraction form
    495.18/742.89 = 187.11/x
  3. Step 3: Cross multiply
    495.18x = 742.89 × 187.11
  4. Step 4: Simplify right side
    495.18x = 139,002.15
  5. Step 5: Solve for x
    x = 139,002.15/495.18
  6. Step 6: Final answer
    x = 280.71

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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.