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Finding the Fourth Proportional to 199.90, 299.82 and 78.14

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Solution

The fourth proportional to 199.90, 299.82 and 78.14 is: 117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.90 : 299.82 = 78.14 : x
  2. Step 2: Convert to fraction form
    199.90/299.82 = 78.14/x
  3. Step 3: Cross multiply
    199.90x = 299.82 × 78.14
  4. Step 4: Simplify right side
    199.90x = 23,427.93
  5. Step 5: Solve for x
    x = 23,427.93/199.90
  6. Step 6: Final answer
    x = 117.20

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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.