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Finding the Fourth Proportional to 177.67, 266.51 and 49.42

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Solution

The fourth proportional to 177.67, 266.51 and 49.42 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 266.51 = 49.42 : x
  2. Step 2: Convert to fraction form
    177.67/266.51 = 49.42/x
  3. Step 3: Cross multiply
    177.67x = 266.51 × 49.42
  4. Step 4: Simplify right side
    177.67x = 13,170.92
  5. Step 5: Solve for x
    x = 13,170.92/177.67
  6. Step 6: Final answer
    x = 74.13

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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.