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Finding the Fourth Proportional to 177.52, 266.30 and 74.75

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Solution

The fourth proportional to 177.52, 266.30 and 74.75 is: 112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.52 : 266.30 = 74.75 : x
  2. Step 2: Convert to fraction form
    177.52/266.30 = 74.75/x
  3. Step 3: Cross multiply
    177.52x = 266.30 × 74.75
  4. Step 4: Simplify right side
    177.52x = 19,905.93
  5. Step 5: Solve for x
    x = 19,905.93/177.52
  6. Step 6: Final answer
    x = 112.13

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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.