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Finding the Fourth Proportional to 177.52, 266.34 and 55.78

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Solution

The fourth proportional to 177.52, 266.34 and 55.78 is: 83.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.52 : 266.34 = 55.78 : x
  2. Step 2: Convert to fraction form
    177.52/266.34 = 55.78/x
  3. Step 3: Cross multiply
    177.52x = 266.34 × 55.78
  4. Step 4: Simplify right side
    177.52x = 14,856.45
  5. Step 5: Solve for x
    x = 14,856.45/177.52
  6. Step 6: Final answer
    x = 83.69

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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.