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Finding the Fourth Proportional to 236.29, 354.37 and 106.21

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Solution

The fourth proportional to 236.29, 354.37 and 106.21 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.29 : 354.37 = 106.21 : x
  2. Step 2: Convert to fraction form
    236.29/354.37 = 106.21/x
  3. Step 3: Cross multiply
    236.29x = 354.37 × 106.21
  4. Step 4: Simplify right side
    236.29x = 37,637.11
  5. Step 5: Solve for x
    x = 37,637.11/236.29
  6. Step 6: Final answer
    x = 159.29

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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.