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Finding the Fourth Proportional to 370.96, 556.16 and 234.16

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Solution

The fourth proportional to 370.96, 556.16 and 234.16 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.96 : 556.16 = 234.16 : x
  2. Step 2: Convert to fraction form
    370.96/556.16 = 234.16/x
  3. Step 3: Cross multiply
    370.96x = 556.16 × 234.16
  4. Step 4: Simplify right side
    370.96x = 130,230.43
  5. Step 5: Solve for x
    x = 130,230.43/370.96
  6. Step 6: Final answer
    x = 351.06

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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.