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Finding the Fourth Proportional to 177.40, 267.55 and 177.40

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Solution

The fourth proportional to 177.40, 267.55 and 177.40 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 267.55 = 177.40 : x
  2. Step 2: Convert to fraction form
    177.40/267.55 = 177.40/x
  3. Step 3: Cross multiply
    177.40x = 267.55 × 177.40
  4. Step 4: Simplify right side
    177.40x = 47,463.37
  5. Step 5: Solve for x
    x = 47,463.37/177.40
  6. Step 6: Final answer
    x = 267.55

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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.