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Finding the Fourth Proportional to 286.67, 430.17 and 177.13

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Solution

The fourth proportional to 286.67, 430.17 and 177.13 is: 265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.67 : 430.17 = 177.13 : x
  2. Step 2: Convert to fraction form
    286.67/430.17 = 177.13/x
  3. Step 3: Cross multiply
    286.67x = 430.17 × 177.13
  4. Step 4: Simplify right side
    286.67x = 76,193.86
  5. Step 5: Solve for x
    x = 76,193.86/286.67
  6. Step 6: Final answer
    x = 265.79

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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.