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Finding the Fourth Proportional to 201.61, 301.98 and 124.34

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Solution

The fourth proportional to 201.61, 301.98 and 124.34 is: 186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.61 : 301.98 = 124.34 : x
  2. Step 2: Convert to fraction form
    201.61/301.98 = 124.34/x
  3. Step 3: Cross multiply
    201.61x = 301.98 × 124.34
  4. Step 4: Simplify right side
    201.61x = 37,548.19
  5. Step 5: Solve for x
    x = 37,548.19/201.61
  6. Step 6: Final answer
    x = 186.24

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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.