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Finding the Fourth Proportional to 183.24, 274.40 and 139.65

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Solution

The fourth proportional to 183.24, 274.40 and 139.65 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 274.40 = 139.65 : x
  2. Step 2: Convert to fraction form
    183.24/274.40 = 139.65/x
  3. Step 3: Cross multiply
    183.24x = 274.40 × 139.65
  4. Step 4: Simplify right side
    183.24x = 38,319.96
  5. Step 5: Solve for x
    x = 38,319.96/183.24
  6. Step 6: Final answer
    x = 209.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.