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Finding the Fourth Proportional to 308.90, 426.28 and 169.01

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Solution

The fourth proportional to 308.90, 426.28 and 169.01 is: 233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.90 : 426.28 = 169.01 : x
  2. Step 2: Convert to fraction form
    308.90/426.28 = 169.01/x
  3. Step 3: Cross multiply
    308.90x = 426.28 × 169.01
  4. Step 4: Simplify right side
    308.90x = 72,044.74
  5. Step 5: Solve for x
    x = 72,044.74/308.90
  6. Step 6: Final answer
    x = 233.23

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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.