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Finding the Fourth Proportional to 292.53, 402.48 and 222.18

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Solution

The fourth proportional to 292.53, 402.48 and 222.18 is: 305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 402.48 = 222.18 : x
  2. Step 2: Convert to fraction form
    292.53/402.48 = 222.18/x
  3. Step 3: Cross multiply
    292.53x = 402.48 × 222.18
  4. Step 4: Simplify right side
    292.53x = 89,420.87
  5. Step 5: Solve for x
    x = 89,420.87/292.53
  6. Step 6: Final answer
    x = 305.68

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Why These Related Problems?

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