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Finding the Fourth Proportional to 201.60, 277.84 and 158.08

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Solution

The fourth proportional to 201.60, 277.84 and 158.08 is: 217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 277.84 = 158.08 : x
  2. Step 2: Convert to fraction form
    201.60/277.84 = 158.08/x
  3. Step 3: Cross multiply
    201.60x = 277.84 × 158.08
  4. Step 4: Simplify right side
    201.60x = 43,920.95
  5. Step 5: Solve for x
    x = 43,920.95/201.60
  6. Step 6: Final answer
    x = 217.86

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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.