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Finding the Fourth Proportional to 311.91, 468.33 and 175.23

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Solution

The fourth proportional to 311.91, 468.33 and 175.23 is: 263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.91 : 468.33 = 175.23 : x
  2. Step 2: Convert to fraction form
    311.91/468.33 = 175.23/x
  3. Step 3: Cross multiply
    311.91x = 468.33 × 175.23
  4. Step 4: Simplify right side
    311.91x = 82,065.47
  5. Step 5: Solve for x
    x = 82,065.47/311.91
  6. Step 6: Final answer
    x = 263.11

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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.