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Finding the Fourth Proportional to 381.14, 570.85 and 175.40

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Solution

The fourth proportional to 381.14, 570.85 and 175.40 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 570.85 = 175.40 : x
  2. Step 2: Convert to fraction form
    381.14/570.85 = 175.40/x
  3. Step 3: Cross multiply
    381.14x = 570.85 × 175.40
  4. Step 4: Simplify right side
    381.14x = 100,125.94
  5. Step 5: Solve for x
    x = 100,125.94/381.14
  6. Step 6: Final answer
    x = 262.70

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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.