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Finding the Fourth Proportional to 376.91, 565.16 and 194.06

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Solution

The fourth proportional to 376.91, 565.16 and 194.06 is: 290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.91 : 565.16 = 194.06 : x
  2. Step 2: Convert to fraction form
    376.91/565.16 = 194.06/x
  3. Step 3: Cross multiply
    376.91x = 565.16 × 194.06
  4. Step 4: Simplify right side
    376.91x = 109,671.15
  5. Step 5: Solve for x
    x = 109,671.15/376.91
  6. Step 6: Final answer
    x = 290.98

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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.