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Finding the Fourth Proportional to 201.83, 278.51 and 114.49

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Solution

The fourth proportional to 201.83, 278.51 and 114.49 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.83 : 278.51 = 114.49 : x
  2. Step 2: Convert to fraction form
    201.83/278.51 = 114.49/x
  3. Step 3: Cross multiply
    201.83x = 278.51 × 114.49
  4. Step 4: Simplify right side
    201.83x = 31,886.61
  5. Step 5: Solve for x
    x = 31,886.61/201.83
  6. Step 6: Final answer
    x = 157.99

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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.