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Finding the Fourth Proportional to 238.19, 355.34 and 199.92

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Solution

The fourth proportional to 238.19, 355.34 and 199.92 is: 298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.19 : 355.34 = 199.92 : x
  2. Step 2: Convert to fraction form
    238.19/355.34 = 199.92/x
  3. Step 3: Cross multiply
    238.19x = 355.34 × 199.92
  4. Step 4: Simplify right side
    238.19x = 71,038.28
  5. Step 5: Solve for x
    x = 71,038.28/238.19
  6. Step 6: Final answer
    x = 298.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.