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Finding the Fourth Proportional to 307.65, 461.52 and 199.92

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Solution

The fourth proportional to 307.65, 461.52 and 199.92 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 461.52 = 199.92 : x
  2. Step 2: Convert to fraction form
    307.65/461.52 = 199.92/x
  3. Step 3: Cross multiply
    307.65x = 461.52 × 199.92
  4. Step 4: Simplify right side
    307.65x = 92,267.08
  5. Step 5: Solve for x
    x = 92,267.08/307.65
  6. Step 6: Final answer
    x = 299.91

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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.