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Finding the Fourth Proportional to 236.10, 353.14 and 138.35

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Solution

The fourth proportional to 236.10, 353.14 and 138.35 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 353.14 = 138.35 : x
  2. Step 2: Convert to fraction form
    236.10/353.14 = 138.35/x
  3. Step 3: Cross multiply
    236.10x = 353.14 × 138.35
  4. Step 4: Simplify right side
    236.10x = 48,857.46
  5. Step 5: Solve for x
    x = 48,857.46/236.10
  6. Step 6: Final answer
    x = 206.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.