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Finding the Fourth Proportional to 236.84, 354.90 and 140.42

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Solution

The fourth proportional to 236.84, 354.90 and 140.42 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.84 : 354.90 = 140.42 : x
  2. Step 2: Convert to fraction form
    236.84/354.90 = 140.42/x
  3. Step 3: Cross multiply
    236.84x = 354.90 × 140.42
  4. Step 4: Simplify right side
    236.84x = 49,835.06
  5. Step 5: Solve for x
    x = 49,835.06/236.84
  6. Step 6: Final answer
    x = 210.42

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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.