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Finding the Fourth Proportional to 292.54, 403.63 and 168.24

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Solution

The fourth proportional to 292.54, 403.63 and 168.24 is: 232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.54 : 403.63 = 168.24 : x
  2. Step 2: Convert to fraction form
    292.54/403.63 = 168.24/x
  3. Step 3: Cross multiply
    292.54x = 403.63 × 168.24
  4. Step 4: Simplify right side
    292.54x = 67,906.71
  5. Step 5: Solve for x
    x = 67,906.71/292.54
  6. Step 6: Final answer
    x = 232.13

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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.