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Finding the Fourth Proportional to 253.22, 379.33 and 116.08

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Solution

The fourth proportional to 253.22, 379.33 and 116.08 is: 173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.22 : 379.33 = 116.08 : x
  2. Step 2: Convert to fraction form
    253.22/379.33 = 116.08/x
  3. Step 3: Cross multiply
    253.22x = 379.33 × 116.08
  4. Step 4: Simplify right side
    253.22x = 44,031.39
  5. Step 5: Solve for x
    x = 44,031.39/253.22
  6. Step 6: Final answer
    x = 173.88

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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.