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Finding the Fourth Proportional to 201.65, 278.30 and 122.99

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Solution

The fourth proportional to 201.65, 278.30 and 122.99 is: 169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 278.30 = 122.99 : x
  2. Step 2: Convert to fraction form
    201.65/278.30 = 122.99/x
  3. Step 3: Cross multiply
    201.65x = 278.30 × 122.99
  4. Step 4: Simplify right side
    201.65x = 34,226.11
  5. Step 5: Solve for x
    x = 34,226.11/201.65
  6. Step 6: Final answer
    x = 169.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.