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Finding the Fourth Proportional to 269.60, 372.34 and 256.64

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Solution

The fourth proportional to 269.60, 372.34 and 256.64 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.60 : 372.34 = 256.64 : x
  2. Step 2: Convert to fraction form
    269.60/372.34 = 256.64/x
  3. Step 3: Cross multiply
    269.60x = 372.34 × 256.64
  4. Step 4: Simplify right side
    269.60x = 95,557.34
  5. Step 5: Solve for x
    x = 95,557.34/269.60
  6. Step 6: Final answer
    x = 354.44

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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.