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Finding the Fourth Proportional to 235.80, 354.11 and 181.13

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Solution

The fourth proportional to 235.80, 354.11 and 181.13 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 354.11 = 181.13 : x
  2. Step 2: Convert to fraction form
    235.80/354.11 = 181.13/x
  3. Step 3: Cross multiply
    235.80x = 354.11 × 181.13
  4. Step 4: Simplify right side
    235.80x = 64,137.27
  5. Step 5: Solve for x
    x = 64,137.27/235.80
  6. Step 6: Final answer
    x = 272.00

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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.