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Finding the Fourth Proportional to 306.01, 458.70 and 151.71

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Solution

The fourth proportional to 306.01, 458.70 and 151.71 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.01 : 458.70 = 151.71 : x
  2. Step 2: Convert to fraction form
    306.01/458.70 = 151.71/x
  3. Step 3: Cross multiply
    306.01x = 458.70 × 151.71
  4. Step 4: Simplify right side
    306.01x = 69,589.38
  5. Step 5: Solve for x
    x = 69,589.38/306.01
  6. Step 6: Final answer
    x = 227.41

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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.