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Finding the Fourth Proportional to 199.16, 298.75 and 54.88

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Solution

The fourth proportional to 199.16, 298.75 and 54.88 is: 82.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.16 : 298.75 = 54.88 : x
  2. Step 2: Convert to fraction form
    199.16/298.75 = 54.88/x
  3. Step 3: Cross multiply
    199.16x = 298.75 × 54.88
  4. Step 4: Simplify right side
    199.16x = 16,395.40
  5. Step 5: Solve for x
    x = 16,395.40/199.16
  6. Step 6: Final answer
    x = 82.32

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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.