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Finding the Fourth Proportional to 201.61, 301.58 and 184.36

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Solution

The fourth proportional to 201.61, 301.58 and 184.36 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.61 : 301.58 = 184.36 : x
  2. Step 2: Convert to fraction form
    201.61/301.58 = 184.36/x
  3. Step 3: Cross multiply
    201.61x = 301.58 × 184.36
  4. Step 4: Simplify right side
    201.61x = 55,598.37
  5. Step 5: Solve for x
    x = 55,598.37/201.61
  6. Step 6: Final answer
    x = 275.78

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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.