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Finding the Fourth Proportional to 292.20, 402.75 and 222.18

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Solution

The fourth proportional to 292.20, 402.75 and 222.18 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 402.75 = 222.18 : x
  2. Step 2: Convert to fraction form
    292.20/402.75 = 222.18/x
  3. Step 3: Cross multiply
    292.20x = 402.75 × 222.18
  4. Step 4: Simplify right side
    292.20x = 89,483.00
  5. Step 5: Solve for x
    x = 89,483.00/292.20
  6. Step 6: Final answer
    x = 306.24

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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.