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Finding the Fourth Proportional to 240.85, 332.81 and 182.53

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Solution

The fourth proportional to 240.85, 332.81 and 182.53 is: 252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.85 : 332.81 = 182.53 : x
  2. Step 2: Convert to fraction form
    240.85/332.81 = 182.53/x
  3. Step 3: Cross multiply
    240.85x = 332.81 × 182.53
  4. Step 4: Simplify right side
    240.85x = 60,746.90
  5. Step 5: Solve for x
    x = 60,746.90/240.85
  6. Step 6: Final answer
    x = 252.22

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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.