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Finding the Fourth Proportional to 201.76, 278.42 and 113.23

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Solution

The fourth proportional to 201.76, 278.42 and 113.23 is: 156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 278.42 = 113.23 : x
  2. Step 2: Convert to fraction form
    201.76/278.42 = 113.23/x
  3. Step 3: Cross multiply
    201.76x = 278.42 × 113.23
  4. Step 4: Simplify right side
    201.76x = 31,525.50
  5. Step 5: Solve for x
    x = 31,525.50/201.76
  6. Step 6: Final answer
    x = 156.25

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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.