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Finding the Fourth Proportional to 485.55, 728.26 and 138.91

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Solution

The fourth proportional to 485.55, 728.26 and 138.91 is: 208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.55 : 728.26 = 138.91 : x
  2. Step 2: Convert to fraction form
    485.55/728.26 = 138.91/x
  3. Step 3: Cross multiply
    485.55x = 728.26 × 138.91
  4. Step 4: Simplify right side
    485.55x = 101,162.60
  5. Step 5: Solve for x
    x = 101,162.60/485.55
  6. Step 6: Final answer
    x = 208.35

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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.