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Finding the Fourth Proportional to 269.12, 370.98 and 203.51

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Solution

The fourth proportional to 269.12, 370.98 and 203.51 is: 280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 370.98 = 203.51 : x
  2. Step 2: Convert to fraction form
    269.12/370.98 = 203.51/x
  3. Step 3: Cross multiply
    269.12x = 370.98 × 203.51
  4. Step 4: Simplify right side
    269.12x = 75,499.07
  5. Step 5: Solve for x
    x = 75,499.07/269.12
  6. Step 6: Final answer
    x = 280.54

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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.