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Finding the Fourth Proportional to 253.24, 379.66 and 116.20

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Solution

The fourth proportional to 253.24, 379.66 and 116.20 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 379.66 = 116.20 : x
  2. Step 2: Convert to fraction form
    253.24/379.66 = 116.20/x
  3. Step 3: Cross multiply
    253.24x = 379.66 × 116.20
  4. Step 4: Simplify right side
    253.24x = 44,116.49
  5. Step 5: Solve for x
    x = 44,116.49/253.24
  6. Step 6: Final answer
    x = 174.21

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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.