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Finding the Fourth Proportional to 144.12, 215.70 and 133.80

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Solution

The fourth proportional to 144.12, 215.70 and 133.80 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 215.70 = 133.80 : x
  2. Step 2: Convert to fraction form
    144.12/215.70 = 133.80/x
  3. Step 3: Cross multiply
    144.12x = 215.70 × 133.80
  4. Step 4: Simplify right side
    144.12x = 28,860.66
  5. Step 5: Solve for x
    x = 28,860.66/144.12
  6. Step 6: Final answer
    x = 200.25

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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.