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Finding the Fourth Proportional to 228.52, 342.76 and 84.15

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Solution

The fourth proportional to 228.52, 342.76 and 84.15 is: 126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 342.76 = 84.15 : x
  2. Step 2: Convert to fraction form
    228.52/342.76 = 84.15/x
  3. Step 3: Cross multiply
    228.52x = 342.76 × 84.15
  4. Step 4: Simplify right side
    228.52x = 28,843.25
  5. Step 5: Solve for x
    x = 28,843.25/228.52
  6. Step 6: Final answer
    x = 126.22

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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.