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Finding the Fourth Proportional to 306.02, 458.72 and 113.50

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Solution

The fourth proportional to 306.02, 458.72 and 113.50 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 458.72 = 113.50 : x
  2. Step 2: Convert to fraction form
    306.02/458.72 = 113.50/x
  3. Step 3: Cross multiply
    306.02x = 458.72 × 113.50
  4. Step 4: Simplify right side
    306.02x = 52,064.72
  5. Step 5: Solve for x
    x = 52,064.72/306.02
  6. Step 6: Final answer
    x = 170.14

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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.