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Finding the Fourth Proportional to 201.34, 301.71 and 186.15

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Solution

The fourth proportional to 201.34, 301.71 and 186.15 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.34 : 301.71 = 186.15 : x
  2. Step 2: Convert to fraction form
    201.34/301.71 = 186.15/x
  3. Step 3: Cross multiply
    201.34x = 301.71 × 186.15
  4. Step 4: Simplify right side
    201.34x = 56,164.10
  5. Step 5: Solve for x
    x = 56,164.10/201.34
  6. Step 6: Final answer
    x = 278.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.