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Finding the Fourth Proportional to 268.46, 370.71 and 202.85

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Solution

The fourth proportional to 268.46, 370.71 and 202.85 is: 280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.46 : 370.71 = 202.85 : x
  2. Step 2: Convert to fraction form
    268.46/370.71 = 202.85/x
  3. Step 3: Cross multiply
    268.46x = 370.71 × 202.85
  4. Step 4: Simplify right side
    268.46x = 75,196.67
  5. Step 5: Solve for x
    x = 75,196.67/268.46
  6. Step 6: Final answer
    x = 280.11

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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.