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Finding the Fourth Proportional to 268.10, 370.49 and 202.49

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Solution

The fourth proportional to 268.10, 370.49 and 202.49 is: 279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.10 : 370.49 = 202.49 : x
  2. Step 2: Convert to fraction form
    268.10/370.49 = 202.49/x
  3. Step 3: Cross multiply
    268.10x = 370.49 × 202.49
  4. Step 4: Simplify right side
    268.10x = 75,020.52
  5. Step 5: Solve for x
    x = 75,020.52/268.10
  6. Step 6: Final answer
    x = 279.82

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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.