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Finding the Fourth Proportional to 377.03, 565.40 and 194.40

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Solution

The fourth proportional to 377.03, 565.40 and 194.40 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.03 : 565.40 = 194.40 : x
  2. Step 2: Convert to fraction form
    377.03/565.40 = 194.40/x
  3. Step 3: Cross multiply
    377.03x = 565.40 × 194.40
  4. Step 4: Simplify right side
    377.03x = 109,912.79
  5. Step 5: Solve for x
    x = 109,912.79/377.03
  6. Step 6: Final answer
    x = 291.53

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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.