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Finding the Fourth Proportional to 185.30, 278.04 and 113.22

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Solution

The fourth proportional to 185.30, 278.04 and 113.22 is: 169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.30 : 278.04 = 113.22 : x
  2. Step 2: Convert to fraction form
    185.30/278.04 = 113.22/x
  3. Step 3: Cross multiply
    185.30x = 278.04 × 113.22
  4. Step 4: Simplify right side
    185.30x = 31,479.69
  5. Step 5: Solve for x
    x = 31,479.69/185.30
  6. Step 6: Final answer
    x = 169.88

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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.