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Finding the Fourth Proportional to 228.06, 341.92 and 106.42

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Solution

The fourth proportional to 228.06, 341.92 and 106.42 is: 159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.06 : 341.92 = 106.42 : x
  2. Step 2: Convert to fraction form
    228.06/341.92 = 106.42/x
  3. Step 3: Cross multiply
    228.06x = 341.92 × 106.42
  4. Step 4: Simplify right side
    228.06x = 36,387.13
  5. Step 5: Solve for x
    x = 36,387.13/228.06
  6. Step 6: Final answer
    x = 159.55

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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.