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Finding the Fourth Proportional to 295.09, 407.24 and 169.04

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Solution

The fourth proportional to 295.09, 407.24 and 169.04 is: 233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.09 : 407.24 = 169.04 : x
  2. Step 2: Convert to fraction form
    295.09/407.24 = 169.04/x
  3. Step 3: Cross multiply
    295.09x = 407.24 × 169.04
  4. Step 4: Simplify right side
    295.09x = 68,839.85
  5. Step 5: Solve for x
    x = 68,839.85/295.09
  6. Step 6: Final answer
    x = 233.28

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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.