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Finding the Fourth Proportional to 177.08, 266.63 and 129.32

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Solution

The fourth proportional to 177.08, 266.63 and 129.32 is: 194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 266.63 = 129.32 : x
  2. Step 2: Convert to fraction form
    177.08/266.63 = 129.32/x
  3. Step 3: Cross multiply
    177.08x = 266.63 × 129.32
  4. Step 4: Simplify right side
    177.08x = 34,480.59
  5. Step 5: Solve for x
    x = 34,480.59/177.08
  6. Step 6: Final answer
    x = 194.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.