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Finding the Fourth Proportional to 383.56, 529.22 and 226.16

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Solution

The fourth proportional to 383.56, 529.22 and 226.16 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.56 : 529.22 = 226.16 : x
  2. Step 2: Convert to fraction form
    383.56/529.22 = 226.16/x
  3. Step 3: Cross multiply
    383.56x = 529.22 × 226.16
  4. Step 4: Simplify right side
    383.56x = 119,688.40
  5. Step 5: Solve for x
    x = 119,688.40/383.56
  6. Step 6: Final answer
    x = 312.05

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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.