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Finding the Fourth Proportional to 306.57, 459.89 and 101.14

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Solution

The fourth proportional to 306.57, 459.89 and 101.14 is: 151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 459.89 = 101.14 : x
  2. Step 2: Convert to fraction form
    306.57/459.89 = 101.14/x
  3. Step 3: Cross multiply
    306.57x = 459.89 × 101.14
  4. Step 4: Simplify right side
    306.57x = 46,512.77
  5. Step 5: Solve for x
    x = 46,512.77/306.57
  6. Step 6: Final answer
    x = 151.72

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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.