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Finding the Fourth Proportional to 275.60, 413 and 160.04

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Solution

The fourth proportional to 275.60, 413 and 160.04 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.60 : 413 = 160.04 : x
  2. Step 2: Convert to fraction form
    275.60/413 = 160.04/x
  3. Step 3: Cross multiply
    275.60x = 413 × 160.04
  4. Step 4: Simplify right side
    275.60x = 66,096.52
  5. Step 5: Solve for x
    x = 66,096.52/275.60
  6. Step 6: Final answer
    x = 239.83

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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.