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Finding the Fourth Proportional to 219.92, 303.08 and 176.24

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Solution

The fourth proportional to 219.92, 303.08 and 176.24 is: 242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 303.08 = 176.24 : x
  2. Step 2: Convert to fraction form
    219.92/303.08 = 176.24/x
  3. Step 3: Cross multiply
    219.92x = 303.08 × 176.24
  4. Step 4: Simplify right side
    219.92x = 53,414.82
  5. Step 5: Solve for x
    x = 53,414.82/219.92
  6. Step 6: Final answer
    x = 242.88

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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.