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Finding the Fourth Proportional to 314.43, 471.26 and 223.16

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Solution

The fourth proportional to 314.43, 471.26 and 223.16 is: 334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 471.26 = 223.16 : x
  2. Step 2: Convert to fraction form
    314.43/471.26 = 223.16/x
  3. Step 3: Cross multiply
    314.43x = 471.26 × 223.16
  4. Step 4: Simplify right side
    314.43x = 105,162.91
  5. Step 5: Solve for x
    x = 105,162.91/314.43
  6. Step 6: Final answer
    x = 334.46

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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.