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Finding the Fourth Proportional to 366.78, 551.09 and 230.10

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Solution

The fourth proportional to 366.78, 551.09 and 230.10 is: 345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.78 : 551.09 = 230.10 : x
  2. Step 2: Convert to fraction form
    366.78/551.09 = 230.10/x
  3. Step 3: Cross multiply
    366.78x = 551.09 × 230.10
  4. Step 4: Simplify right side
    366.78x = 126,805.81
  5. Step 5: Solve for x
    x = 126,805.81/366.78
  6. Step 6: Final answer
    x = 345.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.