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Finding the Fourth Proportional to 144.14, 215.15 and 134.12

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Solution

The fourth proportional to 144.14, 215.15 and 134.12 is: 200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 215.15 = 134.12 : x
  2. Step 2: Convert to fraction form
    144.14/215.15 = 134.12/x
  3. Step 3: Cross multiply
    144.14x = 215.15 × 134.12
  4. Step 4: Simplify right side
    144.14x = 28,855.92
  5. Step 5: Solve for x
    x = 28,855.92/144.14
  6. Step 6: Final answer
    x = 200.19

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