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Finding the Fourth Proportional to 209.01, 288.50 and 139.17

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Solution

The fourth proportional to 209.01, 288.50 and 139.17 is: 192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.01 : 288.50 = 139.17 : x
  2. Step 2: Convert to fraction form
    209.01/288.50 = 139.17/x
  3. Step 3: Cross multiply
    209.01x = 288.50 × 139.17
  4. Step 4: Simplify right side
    209.01x = 40,149.85
  5. Step 5: Solve for x
    x = 40,149.85/209.01
  6. Step 6: Final answer
    x = 192.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.