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Finding the Fourth Proportional to 144.95, 218.44 and 130.52

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Solution

The fourth proportional to 144.95, 218.44 and 130.52 is: 196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.95 : 218.44 = 130.52 : x
  2. Step 2: Convert to fraction form
    144.95/218.44 = 130.52/x
  3. Step 3: Cross multiply
    144.95x = 218.44 × 130.52
  4. Step 4: Simplify right side
    144.95x = 28,510.14
  5. Step 5: Solve for x
    x = 28,510.14/144.95
  6. Step 6: Final answer
    x = 196.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.