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Finding the Fourth Proportional to 269.86, 405.24 and 201.64

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Solution

The fourth proportional to 269.86, 405.24 and 201.64 is: 302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 405.24 = 201.64 : x
  2. Step 2: Convert to fraction form
    269.86/405.24 = 201.64/x
  3. Step 3: Cross multiply
    269.86x = 405.24 × 201.64
  4. Step 4: Simplify right side
    269.86x = 81,712.59
  5. Step 5: Solve for x
    x = 81,712.59/269.86
  6. Step 6: Final answer
    x = 302.80

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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.