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Finding the Fourth Proportional to 269.18, 370.74 and 268.38

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Solution

The fourth proportional to 269.18, 370.74 and 268.38 is: 369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.18 : 370.74 = 268.38 : x
  2. Step 2: Convert to fraction form
    269.18/370.74 = 268.38/x
  3. Step 3: Cross multiply
    269.18x = 370.74 × 268.38
  4. Step 4: Simplify right side
    269.18x = 99,499.20
  5. Step 5: Solve for x
    x = 99,499.20/269.18
  6. Step 6: Final answer
    x = 369.64

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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.