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Finding the Fourth Proportional to 199.87, 299.71 and 78.10

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Solution

The fourth proportional to 199.87, 299.71 and 78.10 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.87 : 299.71 = 78.10 : x
  2. Step 2: Convert to fraction form
    199.87/299.71 = 78.10/x
  3. Step 3: Cross multiply
    199.87x = 299.71 × 78.10
  4. Step 4: Simplify right side
    199.87x = 23,406.70
  5. Step 5: Solve for x
    x = 23,406.70/199.87
  6. Step 6: Final answer
    x = 117.11

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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.