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Finding the Fourth Proportional to 139.66, 207.84 and 135.16

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Solution

The fourth proportional to 139.66, 207.84 and 135.16 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.66 : 207.84 = 135.16 : x
  2. Step 2: Convert to fraction form
    139.66/207.84 = 135.16/x
  3. Step 3: Cross multiply
    139.66x = 207.84 × 135.16
  4. Step 4: Simplify right side
    139.66x = 28,091.65
  5. Step 5: Solve for x
    x = 28,091.65/139.66
  6. Step 6: Final answer
    x = 201.14

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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.