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Finding the Fourth Proportional to 354.40, 532.10 and 172.15

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Solution

The fourth proportional to 354.40, 532.10 and 172.15 is: 258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.40 : 532.10 = 172.15 : x
  2. Step 2: Convert to fraction form
    354.40/532.10 = 172.15/x
  3. Step 3: Cross multiply
    354.40x = 532.10 × 172.15
  4. Step 4: Simplify right side
    354.40x = 91,600.12
  5. Step 5: Solve for x
    x = 91,600.12/354.40
  6. Step 6: Final answer
    x = 258.47

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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.