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Finding the Fourth Proportional to 306.56, 459.92 and 101.12

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Solution

The fourth proportional to 306.56, 459.92 and 101.12 is: 151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 459.92 = 101.12 : x
  2. Step 2: Convert to fraction form
    306.56/459.92 = 101.12/x
  3. Step 3: Cross multiply
    306.56x = 459.92 × 101.12
  4. Step 4: Simplify right side
    306.56x = 46,507.11
  5. Step 5: Solve for x
    x = 46,507.11/306.56
  6. Step 6: Final answer
    x = 151.71

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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.