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Finding the Fourth Proportional to 144.99, 217.08 and 120.69

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Solution

The fourth proportional to 144.99, 217.08 and 120.69 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.99 : 217.08 = 120.69 : x
  2. Step 2: Convert to fraction form
    144.99/217.08 = 120.69/x
  3. Step 3: Cross multiply
    144.99x = 217.08 × 120.69
  4. Step 4: Simplify right side
    144.99x = 26,199.39
  5. Step 5: Solve for x
    x = 26,199.39/144.99
  6. Step 6: Final answer
    x = 180.70

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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.