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Finding the Fourth Proportional to 238.29, 357.09 and 146.84

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Solution

The fourth proportional to 238.29, 357.09 and 146.84 is: 220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.29 : 357.09 = 146.84 : x
  2. Step 2: Convert to fraction form
    238.29/357.09 = 146.84/x
  3. Step 3: Cross multiply
    238.29x = 357.09 × 146.84
  4. Step 4: Simplify right side
    238.29x = 52,433.31
  5. Step 5: Solve for x
    x = 52,433.31/238.29
  6. Step 6: Final answer
    x = 220.04

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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.