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Finding the Fourth Proportional to 313.10, 469.77 and 166.85

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Solution

The fourth proportional to 313.10, 469.77 and 166.85 is: 250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 469.77 = 166.85 : x
  2. Step 2: Convert to fraction form
    313.10/469.77 = 166.85/x
  3. Step 3: Cross multiply
    313.10x = 469.77 × 166.85
  4. Step 4: Simplify right side
    313.10x = 78,378.78
  5. Step 5: Solve for x
    x = 78,378.78/313.10
  6. Step 6: Final answer
    x = 250.34

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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.