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Finding the Fourth Proportional to 177.67, 245.19 and 97.91

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Solution

The fourth proportional to 177.67, 245.19 and 97.91 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 245.19 = 97.91 : x
  2. Step 2: Convert to fraction form
    177.67/245.19 = 97.91/x
  3. Step 3: Cross multiply
    177.67x = 245.19 × 97.91
  4. Step 4: Simplify right side
    177.67x = 24,006.06
  5. Step 5: Solve for x
    x = 24,006.06/177.67
  6. Step 6: Final answer
    x = 135.12

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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.