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Finding the Fourth Proportional to 269.64, 403.50 and 160.86

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Solution

The fourth proportional to 269.64, 403.50 and 160.86 is: 240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 403.50 = 160.86 : x
  2. Step 2: Convert to fraction form
    269.64/403.50 = 160.86/x
  3. Step 3: Cross multiply
    269.64x = 403.50 × 160.86
  4. Step 4: Simplify right side
    269.64x = 64,907.01
  5. Step 5: Solve for x
    x = 64,907.01/269.64
  6. Step 6: Final answer
    x = 240.72

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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.