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Finding the Fourth Proportional to 177.64, 267.09 and 143.65

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Solution

The fourth proportional to 177.64, 267.09 and 143.65 is: 215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.64 : 267.09 = 143.65 : x
  2. Step 2: Convert to fraction form
    177.64/267.09 = 143.65/x
  3. Step 3: Cross multiply
    177.64x = 267.09 × 143.65
  4. Step 4: Simplify right side
    177.64x = 38,367.48
  5. Step 5: Solve for x
    x = 38,367.48/177.64
  6. Step 6: Final answer
    x = 215.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.