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Finding the Fourth Proportional to 495.42, 742.38 and 187.14

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Solution

The fourth proportional to 495.42, 742.38 and 187.14 is: 280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 742.38 = 187.14 : x
  2. Step 2: Convert to fraction form
    495.42/742.38 = 187.14/x
  3. Step 3: Cross multiply
    495.42x = 742.38 × 187.14
  4. Step 4: Simplify right side
    495.42x = 138,928.99
  5. Step 5: Solve for x
    x = 138,928.99/495.42
  6. Step 6: Final answer
    x = 280.43

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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.