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Finding the Fourth Proportional to 269.10, 369.32 and 257.58

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Solution

The fourth proportional to 269.10, 369.32 and 257.58 is: 353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 369.32 = 257.58 : x
  2. Step 2: Convert to fraction form
    269.10/369.32 = 257.58/x
  3. Step 3: Cross multiply
    269.10x = 369.32 × 257.58
  4. Step 4: Simplify right side
    269.10x = 95,128.16
  5. Step 5: Solve for x
    x = 95,128.16/269.10
  6. Step 6: Final answer
    x = 353.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.