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Finding the Fourth Proportional to 495.48, 742.75 and 187.24

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Solution

The fourth proportional to 495.48, 742.75 and 187.24 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.48 : 742.75 = 187.24 : x
  2. Step 2: Convert to fraction form
    495.48/742.75 = 187.24/x
  3. Step 3: Cross multiply
    495.48x = 742.75 × 187.24
  4. Step 4: Simplify right side
    495.48x = 139,071.57
  5. Step 5: Solve for x
    x = 139,071.57/495.48
  6. Step 6: Final answer
    x = 280.68

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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.