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Finding the Fourth Proportional to 177.60, 267.29 and 157.75

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Solution

The fourth proportional to 177.60, 267.29 and 157.75 is: 237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 267.29 = 157.75 : x
  2. Step 2: Convert to fraction form
    177.60/267.29 = 157.75/x
  3. Step 3: Cross multiply
    177.60x = 267.29 × 157.75
  4. Step 4: Simplify right side
    177.60x = 42,165.00
  5. Step 5: Solve for x
    x = 42,165.00/177.60
  6. Step 6: Final answer
    x = 237.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.