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Finding the Fourth Proportional to 442.53, 663.66 and 134.33

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Solution

The fourth proportional to 442.53, 663.66 and 134.33 is: 201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 663.66 = 134.33 : x
  2. Step 2: Convert to fraction form
    442.53/663.66 = 134.33/x
  3. Step 3: Cross multiply
    442.53x = 663.66 × 134.33
  4. Step 4: Simplify right side
    442.53x = 89,146.13
  5. Step 5: Solve for x
    x = 89,146.13/442.53
  6. Step 6: Final answer
    x = 201.45

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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.