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Finding the Fourth Proportional to 292.06, 439.85 and 220.42

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Solution

The fourth proportional to 292.06, 439.85 and 220.42 is: 331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 439.85 = 220.42 : x
  2. Step 2: Convert to fraction form
    292.06/439.85 = 220.42/x
  3. Step 3: Cross multiply
    292.06x = 439.85 × 220.42
  4. Step 4: Simplify right side
    292.06x = 96,951.74
  5. Step 5: Solve for x
    x = 96,951.74/292.06
  6. Step 6: Final answer
    x = 331.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.