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Finding the Fourth Proportional to 298.06, 411.30 and 165.27

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Solution

The fourth proportional to 298.06, 411.30 and 165.27 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.06 : 411.30 = 165.27 : x
  2. Step 2: Convert to fraction form
    298.06/411.30 = 165.27/x
  3. Step 3: Cross multiply
    298.06x = 411.30 × 165.27
  4. Step 4: Simplify right side
    298.06x = 67,975.55
  5. Step 5: Solve for x
    x = 67,975.55/298.06
  6. Step 6: Final answer
    x = 228.06

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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.