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Finding the Fourth Proportional to 313.19, 468.86 and 220.32

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Solution

The fourth proportional to 313.19, 468.86 and 220.32 is: 329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.19 : 468.86 = 220.32 : x
  2. Step 2: Convert to fraction form
    313.19/468.86 = 220.32/x
  3. Step 3: Cross multiply
    313.19x = 468.86 × 220.32
  4. Step 4: Simplify right side
    313.19x = 103,296.89
  5. Step 5: Solve for x
    x = 103,296.89/313.19
  6. Step 6: Final answer
    x = 329.83

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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.