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Finding the Fourth Proportional to 201.70, 278.16 and 157.96

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Solution

The fourth proportional to 201.70, 278.16 and 157.96 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.70 : 278.16 = 157.96 : x
  2. Step 2: Convert to fraction form
    201.70/278.16 = 157.96/x
  3. Step 3: Cross multiply
    201.70x = 278.16 × 157.96
  4. Step 4: Simplify right side
    201.70x = 43,938.15
  5. Step 5: Solve for x
    x = 43,938.15/201.70
  6. Step 6: Final answer
    x = 217.84

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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.