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Finding the Fourth Proportional to 292.01, 402.89 and 165.97

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Solution

The fourth proportional to 292.01, 402.89 and 165.97 is: 228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.01 : 402.89 = 165.97 : x
  2. Step 2: Convert to fraction form
    292.01/402.89 = 165.97/x
  3. Step 3: Cross multiply
    292.01x = 402.89 × 165.97
  4. Step 4: Simplify right side
    292.01x = 66,867.06
  5. Step 5: Solve for x
    x = 66,867.06/292.01
  6. Step 6: Final answer
    x = 228.99

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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.