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Finding the Fourth Proportional to 269.07, 370.43 and 232.02

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Solution

The fourth proportional to 269.07, 370.43 and 232.02 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.07 : 370.43 = 232.02 : x
  2. Step 2: Convert to fraction form
    269.07/370.43 = 232.02/x
  3. Step 3: Cross multiply
    269.07x = 370.43 × 232.02
  4. Step 4: Simplify right side
    269.07x = 85,946.01
  5. Step 5: Solve for x
    x = 85,946.01/269.07
  6. Step 6: Final answer
    x = 319.42

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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.