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Finding the Fourth Proportional to 228.39, 342.61 and 84.11

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Solution

The fourth proportional to 228.39, 342.61 and 84.11 is: 126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.39 : 342.61 = 84.11 : x
  2. Step 2: Convert to fraction form
    228.39/342.61 = 84.11/x
  3. Step 3: Cross multiply
    228.39x = 342.61 × 84.11
  4. Step 4: Simplify right side
    228.39x = 28,816.93
  5. Step 5: Solve for x
    x = 28,816.93/228.39
  6. Step 6: Final answer
    x = 126.17

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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.