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Finding the Fourth Proportional to 236.86, 355.30 and 106.72

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Solution

The fourth proportional to 236.86, 355.30 and 106.72 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.86 : 355.30 = 106.72 : x
  2. Step 2: Convert to fraction form
    236.86/355.30 = 106.72/x
  3. Step 3: Cross multiply
    236.86x = 355.30 × 106.72
  4. Step 4: Simplify right side
    236.86x = 37,916.46
  5. Step 5: Solve for x
    x = 37,916.46/236.86
  6. Step 6: Final answer
    x = 160.08

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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.