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Finding the Fourth Proportional to 233.30, 322.09 and 185.96

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Solution

The fourth proportional to 233.30, 322.09 and 185.96 is: 256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.30 : 322.09 = 185.96 : x
  2. Step 2: Convert to fraction form
    233.30/322.09 = 185.96/x
  3. Step 3: Cross multiply
    233.30x = 322.09 × 185.96
  4. Step 4: Simplify right side
    233.30x = 59,893.78
  5. Step 5: Solve for x
    x = 59,893.78/233.30
  6. Step 6: Final answer
    x = 256.72

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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.