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Finding the Fourth Proportional to 306.01, 458.75 and 113.50

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Solution

The fourth proportional to 306.01, 458.75 and 113.50 is: 170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.01 : 458.75 = 113.50 : x
  2. Step 2: Convert to fraction form
    306.01/458.75 = 113.50/x
  3. Step 3: Cross multiply
    306.01x = 458.75 × 113.50
  4. Step 4: Simplify right side
    306.01x = 52,067.56
  5. Step 5: Solve for x
    x = 52,067.56/306.01
  6. Step 6: Final answer
    x = 170.15

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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.