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Finding the Fourth Proportional to 298.78, 412.33 and 166.02

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Solution

The fourth proportional to 298.78, 412.33 and 166.02 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.78 : 412.33 = 166.02 : x
  2. Step 2: Convert to fraction form
    298.78/412.33 = 166.02/x
  3. Step 3: Cross multiply
    298.78x = 412.33 × 166.02
  4. Step 4: Simplify right side
    298.78x = 68,453.17
  5. Step 5: Solve for x
    x = 68,453.17/298.78
  6. Step 6: Final answer
    x = 229.11

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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.