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Finding the Fourth Proportional to 292.04, 402.98 and 161.02

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Solution

The fourth proportional to 292.04, 402.98 and 161.02 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.04 : 402.98 = 161.02 : x
  2. Step 2: Convert to fraction form
    292.04/402.98 = 161.02/x
  3. Step 3: Cross multiply
    292.04x = 402.98 × 161.02
  4. Step 4: Simplify right side
    292.04x = 64,885.82
  5. Step 5: Solve for x
    x = 64,885.82/292.04
  6. Step 6: Final answer
    x = 222.18

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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.