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Finding the Fourth Proportional to 177.35, 267.89 and 177.35

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Solution

The fourth proportional to 177.35, 267.89 and 177.35 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.35 : 267.89 = 177.35 : x
  2. Step 2: Convert to fraction form
    177.35/267.89 = 177.35/x
  3. Step 3: Cross multiply
    177.35x = 267.89 × 177.35
  4. Step 4: Simplify right side
    177.35x = 47,508.07
  5. Step 5: Solve for x
    x = 47,508.07/177.35
  6. Step 6: Final answer
    x = 267.89

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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.