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Finding the Fourth Proportional to 227.99, 341.98 and 106.34

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Solution

The fourth proportional to 227.99, 341.98 and 106.34 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.99 : 341.98 = 106.34 : x
  2. Step 2: Convert to fraction form
    227.99/341.98 = 106.34/x
  3. Step 3: Cross multiply
    227.99x = 341.98 × 106.34
  4. Step 4: Simplify right side
    227.99x = 36,364.18
  5. Step 5: Solve for x
    x = 36,364.18/227.99
  6. Step 6: Final answer
    x = 159.50

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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.