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Finding the Fourth Proportional to 314.46, 433.86 and 221.22

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Solution

The fourth proportional to 314.46, 433.86 and 221.22 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 433.86 = 221.22 : x
  2. Step 2: Convert to fraction form
    314.46/433.86 = 221.22/x
  3. Step 3: Cross multiply
    314.46x = 433.86 × 221.22
  4. Step 4: Simplify right side
    314.46x = 95,978.51
  5. Step 5: Solve for x
    x = 95,978.51/314.46
  6. Step 6: Final answer
    x = 305.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.