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Finding the Fourth Proportional to 177.67, 266.54 and 69.47

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Solution

The fourth proportional to 177.67, 266.54 and 69.47 is: 104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 266.54 = 69.47 : x
  2. Step 2: Convert to fraction form
    177.67/266.54 = 69.47/x
  3. Step 3: Cross multiply
    177.67x = 266.54 × 69.47
  4. Step 4: Simplify right side
    177.67x = 18,514.85
  5. Step 5: Solve for x
    x = 18,514.85/177.67
  6. Step 6: Final answer
    x = 104.21

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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.