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Finding the Fourth Proportional to 306.18, 458.46 and 224.10

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Solution

The fourth proportional to 306.18, 458.46 and 224.10 is: 335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 458.46 = 224.10 : x
  2. Step 2: Convert to fraction form
    306.18/458.46 = 224.10/x
  3. Step 3: Cross multiply
    306.18x = 458.46 × 224.10
  4. Step 4: Simplify right side
    306.18x = 102,740.89
  5. Step 5: Solve for x
    x = 102,740.89/306.18
  6. Step 6: Final answer
    x = 335.56

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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.