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Finding the Fourth Proportional to 376.61, 565.18 and 193.97

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Solution

The fourth proportional to 376.61, 565.18 and 193.97 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.61 : 565.18 = 193.97 : x
  2. Step 2: Convert to fraction form
    376.61/565.18 = 193.97/x
  3. Step 3: Cross multiply
    376.61x = 565.18 × 193.97
  4. Step 4: Simplify right side
    376.61x = 109,628.89
  5. Step 5: Solve for x
    x = 109,628.89/376.61
  6. Step 6: Final answer
    x = 291.10

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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.