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Finding the Fourth Proportional to 354.96, 532.46 and 149.54

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Solution

The fourth proportional to 354.96, 532.46 and 149.54 is: 224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.96 : 532.46 = 149.54 : x
  2. Step 2: Convert to fraction form
    354.96/532.46 = 149.54/x
  3. Step 3: Cross multiply
    354.96x = 532.46 × 149.54
  4. Step 4: Simplify right side
    354.96x = 79,624.07
  5. Step 5: Solve for x
    x = 79,624.07/354.96
  6. Step 6: Final answer
    x = 224.32

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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.