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Finding the Fourth Proportional to 238.17, 355.44 and 197.67

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Solution

The fourth proportional to 238.17, 355.44 and 197.67 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.17 : 355.44 = 197.67 : x
  2. Step 2: Convert to fraction form
    238.17/355.44 = 197.67/x
  3. Step 3: Cross multiply
    238.17x = 355.44 × 197.67
  4. Step 4: Simplify right side
    238.17x = 70,259.82
  5. Step 5: Solve for x
    x = 70,259.82/238.17
  6. Step 6: Final answer
    x = 295.00

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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.