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Finding the Fourth Proportional to 495.49, 742.54 and 187.03

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Solution

The fourth proportional to 495.49, 742.54 and 187.03 is: 280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.49 : 742.54 = 187.03 : x
  2. Step 2: Convert to fraction form
    495.49/742.54 = 187.03/x
  3. Step 3: Cross multiply
    495.49x = 742.54 × 187.03
  4. Step 4: Simplify right side
    495.49x = 138,877.26
  5. Step 5: Solve for x
    x = 138,877.26/495.49
  6. Step 6: Final answer
    x = 280.28

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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.