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Finding the Fourth Proportional to 313.11, 469.21 and 221.99

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Solution

The fourth proportional to 313.11, 469.21 and 221.99 is: 332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 469.21 = 221.99 : x
  2. Step 2: Convert to fraction form
    313.11/469.21 = 221.99/x
  3. Step 3: Cross multiply
    313.11x = 469.21 × 221.99
  4. Step 4: Simplify right side
    313.11x = 104,157.58
  5. Step 5: Solve for x
    x = 104,157.58/313.11
  6. Step 6: Final answer
    x = 332.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.