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Finding the Fourth Proportional to 177.66, 266.04 and 126.24

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Solution

The fourth proportional to 177.66, 266.04 and 126.24 is: 189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 266.04 = 126.24 : x
  2. Step 2: Convert to fraction form
    177.66/266.04 = 126.24/x
  3. Step 3: Cross multiply
    177.66x = 266.04 × 126.24
  4. Step 4: Simplify right side
    177.66x = 33,584.89
  5. Step 5: Solve for x
    x = 33,584.89/177.66
  6. Step 6: Final answer
    x = 189.04

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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.