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Finding the Fourth Proportional to 201.21, 301.85 and 56.93

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Solution

The fourth proportional to 201.21, 301.85 and 56.93 is: 85.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.21 : 301.85 = 56.93 : x
  2. Step 2: Convert to fraction form
    201.21/301.85 = 56.93/x
  3. Step 3: Cross multiply
    201.21x = 301.85 × 56.93
  4. Step 4: Simplify right side
    201.21x = 17,182.53
  5. Step 5: Solve for x
    x = 17,182.53/201.21
  6. Step 6: Final answer
    x = 85.40

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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.