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Finding the Fourth Proportional to 376.75, 565.40 and 184.51

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Solution

The fourth proportional to 376.75, 565.40 and 184.51 is: 276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.75 : 565.40 = 184.51 : x
  2. Step 2: Convert to fraction form
    376.75/565.40 = 184.51/x
  3. Step 3: Cross multiply
    376.75x = 565.40 × 184.51
  4. Step 4: Simplify right side
    376.75x = 104,321.03
  5. Step 5: Solve for x
    x = 104,321.03/376.75
  6. Step 6: Final answer
    x = 276.90

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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.