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Finding the Fourth Proportional to 377.30, 565.97 and 194.65

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Solution

The fourth proportional to 377.30, 565.97 and 194.65 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.30 : 565.97 = 194.65 : x
  2. Step 2: Convert to fraction form
    377.30/565.97 = 194.65/x
  3. Step 3: Cross multiply
    377.30x = 565.97 × 194.65
  4. Step 4: Simplify right side
    377.30x = 110,162.26
  5. Step 5: Solve for x
    x = 110,162.26/377.30
  6. Step 6: Final answer
    x = 291.98

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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.