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Finding the Fourth Proportional to 268.57, 370.64 and 202.96

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Solution

The fourth proportional to 268.57, 370.64 and 202.96 is: 280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.57 : 370.64 = 202.96 : x
  2. Step 2: Convert to fraction form
    268.57/370.64 = 202.96/x
  3. Step 3: Cross multiply
    268.57x = 370.64 × 202.96
  4. Step 4: Simplify right side
    268.57x = 75,222.23
  5. Step 5: Solve for x
    x = 75,222.23/268.57
  6. Step 6: Final answer
    x = 280.09

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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.