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Finding the Fourth Proportional to 199.35, 299.16 and 130.77

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Solution

The fourth proportional to 199.35, 299.16 and 130.77 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 299.16 = 130.77 : x
  2. Step 2: Convert to fraction form
    199.35/299.16 = 130.77/x
  3. Step 3: Cross multiply
    199.35x = 299.16 × 130.77
  4. Step 4: Simplify right side
    199.35x = 39,121.15
  5. Step 5: Solve for x
    x = 39,121.15/199.35
  6. Step 6: Final answer
    x = 196.24

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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.