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Finding the Fourth Proportional to 199.50, 299.28 and 71.28

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Solution

The fourth proportional to 199.50, 299.28 and 71.28 is: 106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 299.28 = 71.28 : x
  2. Step 2: Convert to fraction form
    199.50/299.28 = 71.28/x
  3. Step 3: Cross multiply
    199.50x = 299.28 × 71.28
  4. Step 4: Simplify right side
    199.50x = 21,332.68
  5. Step 5: Solve for x
    x = 21,332.68/199.50
  6. Step 6: Final answer
    x = 106.93

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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.