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Finding the Fourth Proportional to 201.84, 302.31 and 140.64

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Solution

The fourth proportional to 201.84, 302.31 and 140.64 is: 210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 302.31 = 140.64 : x
  2. Step 2: Convert to fraction form
    201.84/302.31 = 140.64/x
  3. Step 3: Cross multiply
    201.84x = 302.31 × 140.64
  4. Step 4: Simplify right side
    201.84x = 42,516.88
  5. Step 5: Solve for x
    x = 42,516.88/201.84
  6. Step 6: Final answer
    x = 210.65

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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.