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Finding the Fourth Proportional to 139.32, 210.20 and 130.68

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Solution

The fourth proportional to 139.32, 210.20 and 130.68 is: 197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 210.20 = 130.68 : x
  2. Step 2: Convert to fraction form
    139.32/210.20 = 130.68/x
  3. Step 3: Cross multiply
    139.32x = 210.20 × 130.68
  4. Step 4: Simplify right side
    139.32x = 27,468.28
  5. Step 5: Solve for x
    x = 27,468.28/139.32
  6. Step 6: Final answer
    x = 197.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.