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Finding the Fourth Proportional to 292.02, 402.98 and 161.02

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Solution

The fourth proportional to 292.02, 402.98 and 161.02 is: 222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.02 : 402.98 = 161.02 : x
  2. Step 2: Convert to fraction form
    292.02/402.98 = 161.02/x
  3. Step 3: Cross multiply
    292.02x = 402.98 × 161.02
  4. Step 4: Simplify right side
    292.02x = 64,885.27
  5. Step 5: Solve for x
    x = 64,885.27/292.02
  6. Step 6: Final answer
    x = 222.20

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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.