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Finding the Fourth Proportional to 300.49, 414.56 and 176.11

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Solution

The fourth proportional to 300.49, 414.56 and 176.11 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 414.56 = 176.11 : x
  2. Step 2: Convert to fraction form
    300.49/414.56 = 176.11/x
  3. Step 3: Cross multiply
    300.49x = 414.56 × 176.11
  4. Step 4: Simplify right side
    300.49x = 73,008.16
  5. Step 5: Solve for x
    x = 73,008.16/300.49
  6. Step 6: Final answer
    x = 242.96

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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.