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Finding the Fourth Proportional to 253.18, 379.86 and 116.29

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Solution

The fourth proportional to 253.18, 379.86 and 116.29 is: 174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 379.86 = 116.29 : x
  2. Step 2: Convert to fraction form
    253.18/379.86 = 116.29/x
  3. Step 3: Cross multiply
    253.18x = 379.86 × 116.29
  4. Step 4: Simplify right side
    253.18x = 44,173.92
  5. Step 5: Solve for x
    x = 44,173.92/253.18
  6. Step 6: Final answer
    x = 174.48

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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.