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Finding the Fourth Proportional to 138.65, 208.21 and 116.00

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Solution

The fourth proportional to 138.65, 208.21 and 116.00 is: 174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.65 : 208.21 = 116.00 : x
  2. Step 2: Convert to fraction form
    138.65/208.21 = 116.00/x
  3. Step 3: Cross multiply
    138.65x = 208.21 × 116.00
  4. Step 4: Simplify right side
    138.65x = 24,152.59
  5. Step 5: Solve for x
    x = 24,152.59/138.65
  6. Step 6: Final answer
    x = 174.20

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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.