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Finding the Fourth Proportional to 311.80, 468.13 and 174.93

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Solution

The fourth proportional to 311.80, 468.13 and 174.93 is: 262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.80 : 468.13 = 174.93 : x
  2. Step 2: Convert to fraction form
    311.80/468.13 = 174.93/x
  3. Step 3: Cross multiply
    311.80x = 468.13 × 174.93
  4. Step 4: Simplify right side
    311.80x = 81,889.54
  5. Step 5: Solve for x
    x = 81,889.54/311.80
  6. Step 6: Final answer
    x = 262.64

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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.