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Finding the Fourth Proportional to 485.81, 728.64 and 161.18

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Solution

The fourth proportional to 485.81, 728.64 and 161.18 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.81 : 728.64 = 161.18 : x
  2. Step 2: Convert to fraction form
    485.81/728.64 = 161.18/x
  3. Step 3: Cross multiply
    485.81x = 728.64 × 161.18
  4. Step 4: Simplify right side
    485.81x = 117,442.20
  5. Step 5: Solve for x
    x = 117,442.20/485.81
  6. Step 6: Final answer
    x = 241.75

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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.