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Finding the Fourth Proportional to 268.06, 402.10 and 144.74

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Solution

The fourth proportional to 268.06, 402.10 and 144.74 is: 217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.06 : 402.10 = 144.74 : x
  2. Step 2: Convert to fraction form
    268.06/402.10 = 144.74/x
  3. Step 3: Cross multiply
    268.06x = 402.10 × 144.74
  4. Step 4: Simplify right side
    268.06x = 58,199.95
  5. Step 5: Solve for x
    x = 58,199.95/268.06
  6. Step 6: Final answer
    x = 217.12

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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.