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Finding the Fourth Proportional to 201.53, 278.10 and 114.20

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Solution

The fourth proportional to 201.53, 278.10 and 114.20 is: 157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.53 : 278.10 = 114.20 : x
  2. Step 2: Convert to fraction form
    201.53/278.10 = 114.20/x
  3. Step 3: Cross multiply
    201.53x = 278.10 × 114.20
  4. Step 4: Simplify right side
    201.53x = 31,757.63
  5. Step 5: Solve for x
    x = 31,757.63/201.53
  6. Step 6: Final answer
    x = 157.59

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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.