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Finding the Fourth Proportional to 275.83, 414 and 160.41

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Solution

The fourth proportional to 275.83, 414 and 160.41 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.83 : 414 = 160.41 : x
  2. Step 2: Convert to fraction form
    275.83/414 = 160.41/x
  3. Step 3: Cross multiply
    275.83x = 414 × 160.41
  4. Step 4: Simplify right side
    275.83x = 66,407.67
  5. Step 5: Solve for x
    x = 66,407.67/275.83
  6. Step 6: Final answer
    x = 240.76

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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.