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Finding the Fourth Proportional to 233.93, 322.92 and 209.33

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Solution

The fourth proportional to 233.93, 322.92 and 209.33 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.93 : 322.92 = 209.33 : x
  2. Step 2: Convert to fraction form
    233.93/322.92 = 209.33/x
  3. Step 3: Cross multiply
    233.93x = 322.92 × 209.33
  4. Step 4: Simplify right side
    233.93x = 67,596.84
  5. Step 5: Solve for x
    x = 67,596.84/233.93
  6. Step 6: Final answer
    x = 288.96

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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.