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Finding the Fourth Proportional to 367.66, 507.18 and 234.84

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Solution

The fourth proportional to 367.66, 507.18 and 234.84 is: 323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.66 : 507.18 = 234.84 : x
  2. Step 2: Convert to fraction form
    367.66/507.18 = 234.84/x
  3. Step 3: Cross multiply
    367.66x = 507.18 × 234.84
  4. Step 4: Simplify right side
    367.66x = 119,106.15
  5. Step 5: Solve for x
    x = 119,106.15/367.66
  6. Step 6: Final answer
    x = 323.96

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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.