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Finding the Fourth Proportional to 235.63, 352.98 and 181.26

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Solution

The fourth proportional to 235.63, 352.98 and 181.26 is: 271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.63 : 352.98 = 181.26 : x
  2. Step 2: Convert to fraction form
    235.63/352.98 = 181.26/x
  3. Step 3: Cross multiply
    235.63x = 352.98 × 181.26
  4. Step 4: Simplify right side
    235.63x = 63,979.84
  5. Step 5: Solve for x
    x = 63,979.84/235.63
  6. Step 6: Final answer
    x = 271.53

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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.