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Finding the Fourth Proportional to 253.26, 379.82 and 116.24

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Solution

The fourth proportional to 253.26, 379.82 and 116.24 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.26 : 379.82 = 116.24 : x
  2. Step 2: Convert to fraction form
    253.26/379.82 = 116.24/x
  3. Step 3: Cross multiply
    253.26x = 379.82 × 116.24
  4. Step 4: Simplify right side
    253.26x = 44,148.67
  5. Step 5: Solve for x
    x = 44,148.67/253.26
  6. Step 6: Final answer
    x = 174.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.