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Finding the Fourth Proportional to 139.98, 209.84 and 130.16

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Solution

The fourth proportional to 139.98, 209.84 and 130.16 is: 195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.98 : 209.84 = 130.16 : x
  2. Step 2: Convert to fraction form
    139.98/209.84 = 130.16/x
  3. Step 3: Cross multiply
    139.98x = 209.84 × 130.16
  4. Step 4: Simplify right side
    139.98x = 27,312.77
  5. Step 5: Solve for x
    x = 27,312.77/139.98
  6. Step 6: Final answer
    x = 195.12

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Why These Related Problems?

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