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Finding the Fourth Proportional to 177.35, 266.55 and 147.11

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Solution

The fourth proportional to 177.35, 266.55 and 147.11 is: 221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.35 : 266.55 = 147.11 : x
  2. Step 2: Convert to fraction form
    177.35/266.55 = 147.11/x
  3. Step 3: Cross multiply
    177.35x = 266.55 × 147.11
  4. Step 4: Simplify right side
    177.35x = 39,212.17
  5. Step 5: Solve for x
    x = 39,212.17/177.35
  6. Step 6: Final answer
    x = 221.10

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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.