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Finding the Fourth Proportional to 228.07, 342.07 and 106.33

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Solution

The fourth proportional to 228.07, 342.07 and 106.33 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.07 : 342.07 = 106.33 : x
  2. Step 2: Convert to fraction form
    228.07/342.07 = 106.33/x
  3. Step 3: Cross multiply
    228.07x = 342.07 × 106.33
  4. Step 4: Simplify right side
    228.07x = 36,372.30
  5. Step 5: Solve for x
    x = 36,372.30/228.07
  6. Step 6: Final answer
    x = 159.48

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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.