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Finding the Fourth Proportional to 228.98, 343.56 and 84.71

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Solution

The fourth proportional to 228.98, 343.56 and 84.71 is: 127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.98 : 343.56 = 84.71 : x
  2. Step 2: Convert to fraction form
    228.98/343.56 = 84.71/x
  3. Step 3: Cross multiply
    228.98x = 343.56 × 84.71
  4. Step 4: Simplify right side
    228.98x = 29,102.97
  5. Step 5: Solve for x
    x = 29,102.97/228.98
  6. Step 6: Final answer
    x = 127.10

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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.