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Finding the Fourth Proportional to 300.43, 414.69 and 176.14

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Solution

The fourth proportional to 300.43, 414.69 and 176.14 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.43 : 414.69 = 176.14 : x
  2. Step 2: Convert to fraction form
    300.43/414.69 = 176.14/x
  3. Step 3: Cross multiply
    300.43x = 414.69 × 176.14
  4. Step 4: Simplify right side
    300.43x = 73,043.50
  5. Step 5: Solve for x
    x = 73,043.50/300.43
  6. Step 6: Final answer
    x = 243.13

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