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Finding the Fourth Proportional to 376.95, 564.85 and 194.10

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Solution

The fourth proportional to 376.95, 564.85 and 194.10 is: 290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.95 : 564.85 = 194.10 : x
  2. Step 2: Convert to fraction form
    376.95/564.85 = 194.10/x
  3. Step 3: Cross multiply
    376.95x = 564.85 × 194.10
  4. Step 4: Simplify right side
    376.95x = 109,637.39
  5. Step 5: Solve for x
    x = 109,637.39/376.95
  6. Step 6: Final answer
    x = 290.85

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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.