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Finding the Fourth Proportional to 217.76, 300.24 and 176.16

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Solution

The fourth proportional to 217.76, 300.24 and 176.16 is: 242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.76 : 300.24 = 176.16 : x
  2. Step 2: Convert to fraction form
    217.76/300.24 = 176.16/x
  3. Step 3: Cross multiply
    217.76x = 300.24 × 176.16
  4. Step 4: Simplify right side
    217.76x = 52,890.28
  5. Step 5: Solve for x
    x = 52,890.28/217.76
  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.