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Finding the Fourth Proportional to 306.56, 459.72 and 114.14

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Solution

The fourth proportional to 306.56, 459.72 and 114.14 is: 171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 459.72 = 114.14 : x
  2. Step 2: Convert to fraction form
    306.56/459.72 = 114.14/x
  3. Step 3: Cross multiply
    306.56x = 459.72 × 114.14
  4. Step 4: Simplify right side
    306.56x = 52,472.44
  5. Step 5: Solve for x
    x = 52,472.44/306.56
  6. Step 6: Final answer
    x = 171.17

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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.