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Finding the Fourth Proportional to 292.74, 404.01 and 168.40

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Solution

The fourth proportional to 292.74, 404.01 and 168.40 is: 232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 404.01 = 168.40 : x
  2. Step 2: Convert to fraction form
    292.74/404.01 = 168.40/x
  3. Step 3: Cross multiply
    292.74x = 404.01 × 168.40
  4. Step 4: Simplify right side
    292.74x = 68,035.28
  5. Step 5: Solve for x
    x = 68,035.28/292.74
  6. Step 6: Final answer
    x = 232.41

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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.