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Finding the Fourth Proportional to 376.71, 564.78 and 193.98

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Solution

The fourth proportional to 376.71, 564.78 and 193.98 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.71 : 564.78 = 193.98 : x
  2. Step 2: Convert to fraction form
    376.71/564.78 = 193.98/x
  3. Step 3: Cross multiply
    376.71x = 564.78 × 193.98
  4. Step 4: Simplify right side
    376.71x = 109,556.02
  5. Step 5: Solve for x
    x = 109,556.02/376.71
  6. Step 6: Final answer
    x = 290.82

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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.