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Finding the Fourth Proportional to 292.61, 403.82 and 168.29

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Solution

The fourth proportional to 292.61, 403.82 and 168.29 is: 232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.61 : 403.82 = 168.29 : x
  2. Step 2: Convert to fraction form
    292.61/403.82 = 168.29/x
  3. Step 3: Cross multiply
    292.61x = 403.82 × 168.29
  4. Step 4: Simplify right side
    292.61x = 67,957.27
  5. Step 5: Solve for x
    x = 67,957.27/292.61
  6. Step 6: Final answer
    x = 232.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.