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Finding the Fourth Proportional to 233.52, 347.60 and 230.05

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Solution

The fourth proportional to 233.52, 347.60 and 230.05 is: 342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 347.60 = 230.05 : x
  2. Step 2: Convert to fraction form
    233.52/347.60 = 230.05/x
  3. Step 3: Cross multiply
    233.52x = 347.60 × 230.05
  4. Step 4: Simplify right side
    233.52x = 79,965.38
  5. Step 5: Solve for x
    x = 79,965.38/233.52
  6. Step 6: Final answer
    x = 342.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.