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Finding the Fourth Proportional to 485.27, 727.75 and 138.63

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Solution

The fourth proportional to 485.27, 727.75 and 138.63 is: 207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.27 : 727.75 = 138.63 : x
  2. Step 2: Convert to fraction form
    485.27/727.75 = 138.63/x
  3. Step 3: Cross multiply
    485.27x = 727.75 × 138.63
  4. Step 4: Simplify right side
    485.27x = 100,887.98
  5. Step 5: Solve for x
    x = 100,887.98/485.27
  6. Step 6: Final answer
    x = 207.90

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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.