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Finding the Fourth Proportional to 306.45, 458.87 and 169.33

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Solution

The fourth proportional to 306.45, 458.87 and 169.33 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 458.87 = 169.33 : x
  2. Step 2: Convert to fraction form
    306.45/458.87 = 169.33/x
  3. Step 3: Cross multiply
    306.45x = 458.87 × 169.33
  4. Step 4: Simplify right side
    306.45x = 77,700.46
  5. Step 5: Solve for x
    x = 77,700.46/306.45
  6. Step 6: Final answer
    x = 253.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.