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Finding the Fourth Proportional to 236.78, 355.15 and 106.72

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Solution

The fourth proportional to 236.78, 355.15 and 106.72 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.78 : 355.15 = 106.72 : x
  2. Step 2: Convert to fraction form
    236.78/355.15 = 106.72/x
  3. Step 3: Cross multiply
    236.78x = 355.15 × 106.72
  4. Step 4: Simplify right side
    236.78x = 37,901.61
  5. Step 5: Solve for x
    x = 37,901.61/236.78
  6. Step 6: Final answer
    x = 160.07

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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.