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Finding the Fourth Proportional to 199.24, 275.04 and 130.24

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Solution

The fourth proportional to 199.24, 275.04 and 130.24 is: 179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.24 : 275.04 = 130.24 : x
  2. Step 2: Convert to fraction form
    199.24/275.04 = 130.24/x
  3. Step 3: Cross multiply
    199.24x = 275.04 × 130.24
  4. Step 4: Simplify right side
    199.24x = 35,821.21
  5. Step 5: Solve for x
    x = 35,821.21/199.24
  6. Step 6: Final answer
    x = 179.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.