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Finding the Fourth Proportional to 236, 354.32 and 138.62

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Solution

The fourth proportional to 236, 354.32 and 138.62 is: 208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236 : 354.32 = 138.62 : x
  2. Step 2: Convert to fraction form
    236/354.32 = 138.62/x
  3. Step 3: Cross multiply
    236x = 354.32 × 138.62
  4. Step 4: Simplify right side
    236x = 49,115.84
  5. Step 5: Solve for x
    x = 49,115.84/236
  6. Step 6: Final answer
    x = 208.12

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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.