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Finding the Fourth Proportional to 485.52, 728.05 and 160.78

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Solution

The fourth proportional to 485.52, 728.05 and 160.78 is: 241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.52 : 728.05 = 160.78 : x
  2. Step 2: Convert to fraction form
    485.52/728.05 = 160.78/x
  3. Step 3: Cross multiply
    485.52x = 728.05 × 160.78
  4. Step 4: Simplify right side
    485.52x = 117,056.69
  5. Step 5: Solve for x
    x = 117,056.69/485.52
  6. Step 6: Final answer
    x = 241.09

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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.