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Finding the Fourth Proportional to 485.42, 728.19 and 160.82

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Solution

The fourth proportional to 485.42, 728.19 and 160.82 is: 241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.42 : 728.19 = 160.82 : x
  2. Step 2: Convert to fraction form
    485.42/728.19 = 160.82/x
  3. Step 3: Cross multiply
    485.42x = 728.19 × 160.82
  4. Step 4: Simplify right side
    485.42x = 117,107.52
  5. Step 5: Solve for x
    x = 117,107.52/485.42
  6. Step 6: Final answer
    x = 241.25

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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.