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Finding the Fourth Proportional to 377.07, 565.61 and 194.37

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Solution

The fourth proportional to 377.07, 565.61 and 194.37 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.07 : 565.61 = 194.37 : x
  2. Step 2: Convert to fraction form
    377.07/565.61 = 194.37/x
  3. Step 3: Cross multiply
    377.07x = 565.61 × 194.37
  4. Step 4: Simplify right side
    377.07x = 109,937.62
  5. Step 5: Solve for x
    x = 109,937.62/377.07
  6. Step 6: Final answer
    x = 291.56

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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.