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Finding the Fourth Proportional to 377.08, 565.40 and 194.02

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Solution

The fourth proportional to 377.08, 565.40 and 194.02 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.08 : 565.40 = 194.02 : x
  2. Step 2: Convert to fraction form
    377.08/565.40 = 194.02/x
  3. Step 3: Cross multiply
    377.08x = 565.40 × 194.02
  4. Step 4: Simplify right side
    377.08x = 109,697.98
  5. Step 5: Solve for x
    x = 109,697.98/377.08
  6. Step 6: Final answer
    x = 290.92

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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.