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Finding the Fourth Proportional to 201.61, 278.33 and 136.46

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Solution

The fourth proportional to 201.61, 278.33 and 136.46 is: 188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.61 : 278.33 = 136.46 : x
  2. Step 2: Convert to fraction form
    201.61/278.33 = 136.46/x
  3. Step 3: Cross multiply
    201.61x = 278.33 × 136.46
  4. Step 4: Simplify right side
    201.61x = 37,980.93
  5. Step 5: Solve for x
    x = 37,980.93/201.61
  6. Step 6: Final answer
    x = 188.39

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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.