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Finding the Fourth Proportional to 313.26, 469.62 and 120.78

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Solution

The fourth proportional to 313.26, 469.62 and 120.78 is: 181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 469.62 = 120.78 : x
  2. Step 2: Convert to fraction form
    313.26/469.62 = 120.78/x
  3. Step 3: Cross multiply
    313.26x = 469.62 × 120.78
  4. Step 4: Simplify right side
    313.26x = 56,720.70
  5. Step 5: Solve for x
    x = 56,720.70/313.26
  6. Step 6: Final answer
    x = 181.07

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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.