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Finding the Fourth Proportional to 354.60, 532.12 and 181.38

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Solution

The fourth proportional to 354.60, 532.12 and 181.38 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 532.12 = 181.38 : x
  2. Step 2: Convert to fraction form
    354.60/532.12 = 181.38/x
  3. Step 3: Cross multiply
    354.60x = 532.12 × 181.38
  4. Step 4: Simplify right side
    354.60x = 96,515.93
  5. Step 5: Solve for x
    x = 96,515.93/354.60
  6. Step 6: Final answer
    x = 272.18

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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.