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Finding the Fourth Proportional to 292.53, 403.69 and 168.19

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Solution

The fourth proportional to 292.53, 403.69 and 168.19 is: 232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 403.69 = 168.19 : x
  2. Step 2: Convert to fraction form
    292.53/403.69 = 168.19/x
  3. Step 3: Cross multiply
    292.53x = 403.69 × 168.19
  4. Step 4: Simplify right side
    292.53x = 67,896.62
  5. Step 5: Solve for x
    x = 67,896.62/292.53
  6. Step 6: Final answer
    x = 232.10

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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.