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Finding the Fourth Proportional to 410.84, 615.92 and 167.54

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Solution

The fourth proportional to 410.84, 615.92 and 167.54 is: 251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 615.92 = 167.54 : x
  2. Step 2: Convert to fraction form
    410.84/615.92 = 167.54/x
  3. Step 3: Cross multiply
    410.84x = 615.92 × 167.54
  4. Step 4: Simplify right side
    410.84x = 103,191.24
  5. Step 5: Solve for x
    x = 103,191.24/410.84
  6. Step 6: Final answer
    x = 251.17

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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.