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Finding the Fourth Proportional to 268.28, 402.51 and 106.07

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Solution

The fourth proportional to 268.28, 402.51 and 106.07 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.28 : 402.51 = 106.07 : x
  2. Step 2: Convert to fraction form
    268.28/402.51 = 106.07/x
  3. Step 3: Cross multiply
    268.28x = 402.51 × 106.07
  4. Step 4: Simplify right side
    268.28x = 42,694.24
  5. Step 5: Solve for x
    x = 42,694.24/268.28
  6. Step 6: Final answer
    x = 159.14

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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.