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Finding the Fourth Proportional to 185.28, 277.92 and 63.53

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Solution

The fourth proportional to 185.28, 277.92 and 63.53 is: 95.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 277.92 = 63.53 : x
  2. Step 2: Convert to fraction form
    185.28/277.92 = 63.53/x
  3. Step 3: Cross multiply
    185.28x = 277.92 × 63.53
  4. Step 4: Simplify right side
    185.28x = 17,655.94
  5. Step 5: Solve for x
    x = 17,655.94/185.28
  6. Step 6: Final answer
    x = 95.30

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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.