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Finding the Fourth Proportional to 201.55, 302.51 and 110.34

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Solution

The fourth proportional to 201.55, 302.51 and 110.34 is: 165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.55 : 302.51 = 110.34 : x
  2. Step 2: Convert to fraction form
    201.55/302.51 = 110.34/x
  3. Step 3: Cross multiply
    201.55x = 302.51 × 110.34
  4. Step 4: Simplify right side
    201.55x = 33,378.95
  5. Step 5: Solve for x
    x = 33,378.95/201.55
  6. Step 6: Final answer
    x = 165.61

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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.