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Finding the Fourth Proportional to 268.53, 402.66 and 106.13

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Solution

The fourth proportional to 268.53, 402.66 and 106.13 is: 159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.53 : 402.66 = 106.13 : x
  2. Step 2: Convert to fraction form
    268.53/402.66 = 106.13/x
  3. Step 3: Cross multiply
    268.53x = 402.66 × 106.13
  4. Step 4: Simplify right side
    268.53x = 42,732.29
  5. Step 5: Solve for x
    x = 42,732.29/268.53
  6. Step 6: Final answer
    x = 159.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.