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Finding the Fourth Proportional to 376.65, 564.21 and 193.77

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Solution

The fourth proportional to 376.65, 564.21 and 193.77 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.65 : 564.21 = 193.77 : x
  2. Step 2: Convert to fraction form
    376.65/564.21 = 193.77/x
  3. Step 3: Cross multiply
    376.65x = 564.21 × 193.77
  4. Step 4: Simplify right side
    376.65x = 109,326.97
  5. Step 5: Solve for x
    x = 109,326.97/376.65
  6. Step 6: Final answer
    x = 290.26

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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.