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Finding the Fourth Proportional to 376.26, 564 and 193.74

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Solution

The fourth proportional to 376.26, 564 and 193.74 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.26 : 564 = 193.74 : x
  2. Step 2: Convert to fraction form
    376.26/564 = 193.74/x
  3. Step 3: Cross multiply
    376.26x = 564 × 193.74
  4. Step 4: Simplify right side
    376.26x = 109,269.36
  5. Step 5: Solve for x
    x = 109,269.36/376.26
  6. Step 6: Final answer
    x = 290.41

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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.