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Finding the Fourth Proportional to 199, 297.86 and 144.16

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Solution

The fourth proportional to 199, 297.86 and 144.16 is: 215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199 : 297.86 = 144.16 : x
  2. Step 2: Convert to fraction form
    199/297.86 = 144.16/x
  3. Step 3: Cross multiply
    199x = 297.86 × 144.16
  4. Step 4: Simplify right side
    199x = 42,939.50
  5. Step 5: Solve for x
    x = 42,939.50/199
  6. Step 6: Final answer
    x = 215.78

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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.