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Finding the Fourth Proportional to 201.11, 301.51 and 145.52

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Solution

The fourth proportional to 201.11, 301.51 and 145.52 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.11 : 301.51 = 145.52 : x
  2. Step 2: Convert to fraction form
    201.11/301.51 = 145.52/x
  3. Step 3: Cross multiply
    201.11x = 301.51 × 145.52
  4. Step 4: Simplify right side
    201.11x = 43,875.74
  5. Step 5: Solve for x
    x = 43,875.74/201.11
  6. Step 6: Final answer
    x = 218.17

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