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Finding the Fourth Proportional to 228.26, 342.52 and 106.52

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Solution

The fourth proportional to 228.26, 342.52 and 106.52 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.26 : 342.52 = 106.52 : x
  2. Step 2: Convert to fraction form
    228.26/342.52 = 106.52/x
  3. Step 3: Cross multiply
    228.26x = 342.52 × 106.52
  4. Step 4: Simplify right side
    228.26x = 36,483.25
  5. Step 5: Solve for x
    x = 36,483.25/228.26
  6. Step 6: Final answer
    x = 159.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.