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Finding the Fourth Proportional to 201.69, 303.60 and 158.61

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Solution

The fourth proportional to 201.69, 303.60 and 158.61 is: 238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 303.60 = 158.61 : x
  2. Step 2: Convert to fraction form
    201.69/303.60 = 158.61/x
  3. Step 3: Cross multiply
    201.69x = 303.60 × 158.61
  4. Step 4: Simplify right side
    201.69x = 48,154.00
  5. Step 5: Solve for x
    x = 48,154.00/201.69
  6. Step 6: Final answer
    x = 238.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.