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Finding the Fourth Proportional to 201.24, 302.13 and 194.58

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Solution

The fourth proportional to 201.24, 302.13 and 194.58 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 302.13 = 194.58 : x
  2. Step 2: Convert to fraction form
    201.24/302.13 = 194.58/x
  3. Step 3: Cross multiply
    201.24x = 302.13 × 194.58
  4. Step 4: Simplify right side
    201.24x = 58,788.46
  5. Step 5: Solve for x
    x = 58,788.46/201.24
  6. Step 6: Final answer
    x = 292.13

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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.