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Finding the Fourth Proportional to 177.53, 266.33 and 86.34

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Solution

The fourth proportional to 177.53, 266.33 and 86.34 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.53 : 266.33 = 86.34 : x
  2. Step 2: Convert to fraction form
    177.53/266.33 = 86.34/x
  3. Step 3: Cross multiply
    177.53x = 266.33 × 86.34
  4. Step 4: Simplify right side
    177.53x = 22,994.93
  5. Step 5: Solve for x
    x = 22,994.93/177.53
  6. Step 6: Final answer
    x = 129.53

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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.