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Finding the Fourth Proportional to 269.79, 405.05 and 160.31

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Solution

The fourth proportional to 269.79, 405.05 and 160.31 is: 240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.79 : 405.05 = 160.31 : x
  2. Step 2: Convert to fraction form
    269.79/405.05 = 160.31/x
  3. Step 3: Cross multiply
    269.79x = 405.05 × 160.31
  4. Step 4: Simplify right side
    269.79x = 64,930.74
  5. Step 5: Solve for x
    x = 64,930.74/269.79
  6. Step 6: Final answer
    x = 240.67

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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.