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Finding the Fourth Proportional to 201.85, 278.60 and 114.57

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Solution

The fourth proportional to 201.85, 278.60 and 114.57 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.85 : 278.60 = 114.57 : x
  2. Step 2: Convert to fraction form
    201.85/278.60 = 114.57/x
  3. Step 3: Cross multiply
    201.85x = 278.60 × 114.57
  4. Step 4: Simplify right side
    201.85x = 31,918.63
  5. Step 5: Solve for x
    x = 31,918.63/201.85
  6. Step 6: Final answer
    x = 158.13

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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.