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Finding the Fourth Proportional to 376.54, 564.78 and 133.06

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Solution

The fourth proportional to 376.54, 564.78 and 133.06 is: 199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.54 : 564.78 = 133.06 : x
  2. Step 2: Convert to fraction form
    376.54/564.78 = 133.06/x
  3. Step 3: Cross multiply
    376.54x = 564.78 × 133.06
  4. Step 4: Simplify right side
    376.54x = 75,149.63
  5. Step 5: Solve for x
    x = 75,149.63/376.54
  6. Step 6: Final answer
    x = 199.58

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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.