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Finding the Fourth Proportional to 177.74, 267.16 and 114.02

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Solution

The fourth proportional to 177.74, 267.16 and 114.02 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 267.16 = 114.02 : x
  2. Step 2: Convert to fraction form
    177.74/267.16 = 114.02/x
  3. Step 3: Cross multiply
    177.74x = 267.16 × 114.02
  4. Step 4: Simplify right side
    177.74x = 30,461.58
  5. Step 5: Solve for x
    x = 30,461.58/177.74
  6. Step 6: Final answer
    x = 171.38

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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.