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Finding the Fourth Proportional to 233.91, 322.83 and 134.37

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Solution

The fourth proportional to 233.91, 322.83 and 134.37 is: 185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.91 : 322.83 = 134.37 : x
  2. Step 2: Convert to fraction form
    233.91/322.83 = 134.37/x
  3. Step 3: Cross multiply
    233.91x = 322.83 × 134.37
  4. Step 4: Simplify right side
    233.91x = 43,378.67
  5. Step 5: Solve for x
    x = 43,378.67/233.91
  6. Step 6: Final answer
    x = 185.45

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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.