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Finding the Fourth Proportional to 177.60, 266.04 and 113.34

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Solution

The fourth proportional to 177.60, 266.04 and 113.34 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 266.04 = 113.34 : x
  2. Step 2: Convert to fraction form
    177.60/266.04 = 113.34/x
  3. Step 3: Cross multiply
    177.60x = 266.04 × 113.34
  4. Step 4: Simplify right side
    177.60x = 30,152.97
  5. Step 5: Solve for x
    x = 30,152.97/177.60
  6. Step 6: Final answer
    x = 169.78

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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.