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Finding the Fourth Proportional to 268.43, 370.55 and 202.95

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Solution

The fourth proportional to 268.43, 370.55 and 202.95 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.43 : 370.55 = 202.95 : x
  2. Step 2: Convert to fraction form
    268.43/370.55 = 202.95/x
  3. Step 3: Cross multiply
    268.43x = 370.55 × 202.95
  4. Step 4: Simplify right side
    268.43x = 75,203.12
  5. Step 5: Solve for x
    x = 75,203.12/268.43
  6. Step 6: Final answer
    x = 280.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.