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Finding the Fourth Proportional to 201.59, 278.17 and 113.07

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Solution

The fourth proportional to 201.59, 278.17 and 113.07 is: 156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.59 : 278.17 = 113.07 : x
  2. Step 2: Convert to fraction form
    201.59/278.17 = 113.07/x
  3. Step 3: Cross multiply
    201.59x = 278.17 × 113.07
  4. Step 4: Simplify right side
    201.59x = 31,453.16
  5. Step 5: Solve for x
    x = 31,453.16/201.59
  6. Step 6: Final answer
    x = 156.03

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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.