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Finding the Fourth Proportional to 306.75, 460.10 and 111.78

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Solution

The fourth proportional to 306.75, 460.10 and 111.78 is: 167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 460.10 = 111.78 : x
  2. Step 2: Convert to fraction form
    306.75/460.10 = 111.78/x
  3. Step 3: Cross multiply
    306.75x = 460.10 × 111.78
  4. Step 4: Simplify right side
    306.75x = 51,429.42
  5. Step 5: Solve for x
    x = 51,429.42/306.75
  6. Step 6: Final answer
    x = 167.66

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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.