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Finding the Fourth Proportional to 269.48, 405.00 and 132.63

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Solution

The fourth proportional to 269.48, 405.00 and 132.63 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.48 : 405.00 = 132.63 : x
  2. Step 2: Convert to fraction form
    269.48/405.00 = 132.63/x
  3. Step 3: Cross multiply
    269.48x = 405.00 × 132.63
  4. Step 4: Simplify right side
    269.48x = 53,712.93
  5. Step 5: Solve for x
    x = 53,712.93/269.48
  6. Step 6: Final answer
    x = 199.32

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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.