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Finding the Fourth Proportional to 201.57, 278.16 and 109.57

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Solution

The fourth proportional to 201.57, 278.16 and 109.57 is: 151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.57 : 278.16 = 109.57 : x
  2. Step 2: Convert to fraction form
    201.57/278.16 = 109.57/x
  3. Step 3: Cross multiply
    201.57x = 278.16 × 109.57
  4. Step 4: Simplify right side
    201.57x = 30,476.05
  5. Step 5: Solve for x
    x = 30,476.05/201.57
  6. Step 6: Final answer
    x = 151.20

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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.