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Finding the Fourth Proportional to 236.52, 354.49 and 106.34

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Solution

The fourth proportional to 236.52, 354.49 and 106.34 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.52 : 354.49 = 106.34 : x
  2. Step 2: Convert to fraction form
    236.52/354.49 = 106.34/x
  3. Step 3: Cross multiply
    236.52x = 354.49 × 106.34
  4. Step 4: Simplify right side
    236.52x = 37,696.47
  5. Step 5: Solve for x
    x = 37,696.47/236.52
  6. Step 6: Final answer
    x = 159.38

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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.