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Finding the Fourth Proportional to 144.10, 216.36 and 138.64

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Solution

The fourth proportional to 144.10, 216.36 and 138.64 is: 208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.10 : 216.36 = 138.64 : x
  2. Step 2: Convert to fraction form
    144.10/216.36 = 138.64/x
  3. Step 3: Cross multiply
    144.10x = 216.36 × 138.64
  4. Step 4: Simplify right side
    144.10x = 29,996.15
  5. Step 5: Solve for x
    x = 29,996.15/144.10
  6. Step 6: Final answer
    x = 208.16

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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.