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Finding the Fourth Proportional to 255.66, 382.99 and 133.63

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Solution

The fourth proportional to 255.66, 382.99 and 133.63 is: 200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 382.99 = 133.63 : x
  2. Step 2: Convert to fraction form
    255.66/382.99 = 133.63/x
  3. Step 3: Cross multiply
    255.66x = 382.99 × 133.63
  4. Step 4: Simplify right side
    255.66x = 51,177.18
  5. Step 5: Solve for x
    x = 51,177.18/255.66
  6. Step 6: Final answer
    x = 200.18

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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.