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Finding the Fourth Proportional to 178.31, 245.72 and 129.09

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Solution

The fourth proportional to 178.31, 245.72 and 129.09 is: 177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 245.72 = 129.09 : x
  2. Step 2: Convert to fraction form
    178.31/245.72 = 129.09/x
  3. Step 3: Cross multiply
    178.31x = 245.72 × 129.09
  4. Step 4: Simplify right side
    178.31x = 31,719.35
  5. Step 5: Solve for x
    x = 31,719.35/178.31
  6. Step 6: Final answer
    x = 177.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.