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Finding the Fourth Proportional to 138.64, 208.23 and 130

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Solution

The fourth proportional to 138.64, 208.23 and 130 is: 195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.64 : 208.23 = 130 : x
  2. Step 2: Convert to fraction form
    138.64/208.23 = 130/x
  3. Step 3: Cross multiply
    138.64x = 208.23 × 130
  4. Step 4: Simplify right side
    138.64x = 27,069.90
  5. Step 5: Solve for x
    x = 27,069.90/138.64
  6. Step 6: Final answer
    x = 195.25

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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.