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Finding the Fourth Proportional to 298.96, 412.55 and 166.20

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Solution

The fourth proportional to 298.96, 412.55 and 166.20 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 412.55 = 166.20 : x
  2. Step 2: Convert to fraction form
    298.96/412.55 = 166.20/x
  3. Step 3: Cross multiply
    298.96x = 412.55 × 166.20
  4. Step 4: Simplify right side
    298.96x = 68,566.23
  5. Step 5: Solve for x
    x = 68,566.23/298.96
  6. Step 6: Final answer
    x = 229.35

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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.