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Finding the Fourth Proportional to 269.98, 405 and 133.02

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Solution

The fourth proportional to 269.98, 405 and 133.02 is: 199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.98 : 405 = 133.02 : x
  2. Step 2: Convert to fraction form
    269.98/405 = 133.02/x
  3. Step 3: Cross multiply
    269.98x = 405 × 133.02
  4. Step 4: Simplify right side
    269.98x = 53,873.10
  5. Step 5: Solve for x
    x = 53,873.10/269.98
  6. Step 6: Final answer
    x = 199.55

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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.