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Finding the Fourth Proportional to 485.96, 728.86 and 139.34

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Solution

The fourth proportional to 485.96, 728.86 and 139.34 is: 208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.96 : 728.86 = 139.34 : x
  2. Step 2: Convert to fraction form
    485.96/728.86 = 139.34/x
  3. Step 3: Cross multiply
    485.96x = 728.86 × 139.34
  4. Step 4: Simplify right side
    485.96x = 101,559.35
  5. Step 5: Solve for x
    x = 101,559.35/485.96
  6. Step 6: Final answer
    x = 208.99

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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.