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Finding the Fourth Proportional to 376.76, 564.33 and 193.76

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Solution

The fourth proportional to 376.76, 564.33 and 193.76 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.76 : 564.33 = 193.76 : x
  2. Step 2: Convert to fraction form
    376.76/564.33 = 193.76/x
  3. Step 3: Cross multiply
    376.76x = 564.33 × 193.76
  4. Step 4: Simplify right side
    376.76x = 109,344.58
  5. Step 5: Solve for x
    x = 109,344.58/376.76
  6. Step 6: Final answer
    x = 290.22

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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.