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Finding the Fourth Proportional to 298.00, 411.28 and 167.03

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Solution

The fourth proportional to 298.00, 411.28 and 167.03 is: 230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.00 : 411.28 = 167.03 : x
  2. Step 2: Convert to fraction form
    298.00/411.28 = 167.03/x
  3. Step 3: Cross multiply
    298.00x = 411.28 × 167.03
  4. Step 4: Simplify right side
    298.00x = 68,695.17
  5. Step 5: Solve for x
    x = 68,695.17/298.00
  6. Step 6: Final answer
    x = 230.52

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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.