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Finding the Fourth Proportional to 236.71, 355.19 and 106.80

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Solution

The fourth proportional to 236.71, 355.19 and 106.80 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.71 : 355.19 = 106.80 : x
  2. Step 2: Convert to fraction form
    236.71/355.19 = 106.80/x
  3. Step 3: Cross multiply
    236.71x = 355.19 × 106.80
  4. Step 4: Simplify right side
    236.71x = 37,934.42
  5. Step 5: Solve for x
    x = 37,934.42/236.71
  6. Step 6: Final answer
    x = 160.25

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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.