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Finding the Fourth Proportional to 144.27, 215.16 and 130.43

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Solution

The fourth proportional to 144.27, 215.16 and 130.43 is: 194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.27 : 215.16 = 130.43 : x
  2. Step 2: Convert to fraction form
    144.27/215.16 = 130.43/x
  3. Step 3: Cross multiply
    144.27x = 215.16 × 130.43
  4. Step 4: Simplify right side
    144.27x = 28,063.32
  5. Step 5: Solve for x
    x = 28,063.32/144.27
  6. Step 6: Final answer
    x = 194.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.