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Finding the Fourth Proportional to 306.74, 459.92 and 150.46

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Solution

The fourth proportional to 306.74, 459.92 and 150.46 is: 225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 459.92 = 150.46 : x
  2. Step 2: Convert to fraction form
    306.74/459.92 = 150.46/x
  3. Step 3: Cross multiply
    306.74x = 459.92 × 150.46
  4. Step 4: Simplify right side
    306.74x = 69,197.66
  5. Step 5: Solve for x
    x = 69,197.66/306.74
  6. Step 6: Final answer
    x = 225.59

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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.