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Finding the Fourth Proportional to 269.52, 403.92 and 214.80

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Solution

The fourth proportional to 269.52, 403.92 and 214.80 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 403.92 = 214.80 : x
  2. Step 2: Convert to fraction form
    269.52/403.92 = 214.80/x
  3. Step 3: Cross multiply
    269.52x = 403.92 × 214.80
  4. Step 4: Simplify right side
    269.52x = 86,762.02
  5. Step 5: Solve for x
    x = 86,762.02/269.52
  6. Step 6: Final answer
    x = 321.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.