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Finding the Fourth Proportional to 295.24, 407.47 and 169.22

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Solution

The fourth proportional to 295.24, 407.47 and 169.22 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.24 : 407.47 = 169.22 : x
  2. Step 2: Convert to fraction form
    295.24/407.47 = 169.22/x
  3. Step 3: Cross multiply
    295.24x = 407.47 × 169.22
  4. Step 4: Simplify right side
    295.24x = 68,949.19
  5. Step 5: Solve for x
    x = 68,949.19/295.24
  6. Step 6: Final answer
    x = 233.54

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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.