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Finding the Fourth Proportional to 201.02, 301.76 and 187.81

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Solution

The fourth proportional to 201.02, 301.76 and 187.81 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 301.76 = 187.81 : x
  2. Step 2: Convert to fraction form
    201.02/301.76 = 187.81/x
  3. Step 3: Cross multiply
    201.02x = 301.76 × 187.81
  4. Step 4: Simplify right side
    201.02x = 56,673.55
  5. Step 5: Solve for x
    x = 56,673.55/201.02
  6. Step 6: Final answer
    x = 281.93

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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.