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Finding the Fourth Proportional to 377.28, 564.90 and 194.32

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Solution

The fourth proportional to 377.28, 564.90 and 194.32 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.28 : 564.90 = 194.32 : x
  2. Step 2: Convert to fraction form
    377.28/564.90 = 194.32/x
  3. Step 3: Cross multiply
    377.28x = 564.90 × 194.32
  4. Step 4: Simplify right side
    377.28x = 109,773.48
  5. Step 5: Solve for x
    x = 109,773.48/377.28
  6. Step 6: Final answer
    x = 290.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.