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Finding the Fourth Proportional to 235.04, 324.27 and 161.53

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Solution

The fourth proportional to 235.04, 324.27 and 161.53 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.04 : 324.27 = 161.53 : x
  2. Step 2: Convert to fraction form
    235.04/324.27 = 161.53/x
  3. Step 3: Cross multiply
    235.04x = 324.27 × 161.53
  4. Step 4: Simplify right side
    235.04x = 52,378.52
  5. Step 5: Solve for x
    x = 52,378.52/235.04
  6. Step 6: Final answer
    x = 222.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.