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Finding the Fourth Proportional to 139.36, 208 and 123.16

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Solution

The fourth proportional to 139.36, 208 and 123.16 is: 183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.36 : 208 = 123.16 : x
  2. Step 2: Convert to fraction form
    139.36/208 = 123.16/x
  3. Step 3: Cross multiply
    139.36x = 208 × 123.16
  4. Step 4: Simplify right side
    139.36x = 25,617.28
  5. Step 5: Solve for x
    x = 25,617.28/139.36
  6. Step 6: Final answer
    x = 183.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.