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Finding the Fourth Proportional to 377.16, 565.79 and 194.50

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Solution

The fourth proportional to 377.16, 565.79 and 194.50 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 565.79 = 194.50 : x
  2. Step 2: Convert to fraction form
    377.16/565.79 = 194.50/x
  3. Step 3: Cross multiply
    377.16x = 565.79 × 194.50
  4. Step 4: Simplify right side
    377.16x = 110,045.89
  5. Step 5: Solve for x
    x = 110,045.89/377.16
  6. Step 6: Final answer
    x = 291.78

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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.