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Finding the Fourth Proportional to 201.65, 278.18 and 154.94

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Solution

The fourth proportional to 201.65, 278.18 and 154.94 is: 213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 278.18 = 154.94 : x
  2. Step 2: Convert to fraction form
    201.65/278.18 = 154.94/x
  3. Step 3: Cross multiply
    201.65x = 278.18 × 154.94
  4. Step 4: Simplify right side
    201.65x = 43,099.04
  5. Step 5: Solve for x
    x = 43,099.04/201.65
  6. Step 6: Final answer
    x = 213.74

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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.