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Finding the Fourth Proportional to 306.98, 460.46 and 75.86

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Solution

The fourth proportional to 306.98, 460.46 and 75.86 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 460.46 = 75.86 : x
  2. Step 2: Convert to fraction form
    306.98/460.46 = 75.86/x
  3. Step 3: Cross multiply
    306.98x = 460.46 × 75.86
  4. Step 4: Simplify right side
    306.98x = 34,927.81
  5. Step 5: Solve for x
    x = 34,927.81/306.98
  6. Step 6: Final answer
    x = 113.78

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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.