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Finding the Fourth Proportional to 376.53, 565.05 and 194.05

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Solution

The fourth proportional to 376.53, 565.05 and 194.05 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.53 : 565.05 = 194.05 : x
  2. Step 2: Convert to fraction form
    376.53/565.05 = 194.05/x
  3. Step 3: Cross multiply
    376.53x = 565.05 × 194.05
  4. Step 4: Simplify right side
    376.53x = 109,647.95
  5. Step 5: Solve for x
    x = 109,647.95/376.53
  6. Step 6: Final answer
    x = 291.21

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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.