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Finding the Fourth Proportional to 377.14, 565.70 and 103.22

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Solution

The fourth proportional to 377.14, 565.70 and 103.22 is: 154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 565.70 = 103.22 : x
  2. Step 2: Convert to fraction form
    377.14/565.70 = 103.22/x
  3. Step 3: Cross multiply
    377.14x = 565.70 × 103.22
  4. Step 4: Simplify right side
    377.14x = 58,394.09
  5. Step 5: Solve for x
    x = 58,394.09/377.14
  6. Step 6: Final answer
    x = 154.83

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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.