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Finding the Fourth Proportional to 240.53, 331.83 and 147.22

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Solution

The fourth proportional to 240.53, 331.83 and 147.22 is: 203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.53 : 331.83 = 147.22 : x
  2. Step 2: Convert to fraction form
    240.53/331.83 = 147.22/x
  3. Step 3: Cross multiply
    240.53x = 331.83 × 147.22
  4. Step 4: Simplify right side
    240.53x = 48,851.18
  5. Step 5: Solve for x
    x = 48,851.18/240.53
  6. Step 6: Final answer
    x = 203.10

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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.