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Finding the Fourth Proportional to 233.97, 322.90 and 145.43

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Solution

The fourth proportional to 233.97, 322.90 and 145.43 is: 200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.97 : 322.90 = 145.43 : x
  2. Step 2: Convert to fraction form
    233.97/322.90 = 145.43/x
  3. Step 3: Cross multiply
    233.97x = 322.90 × 145.43
  4. Step 4: Simplify right side
    233.97x = 46,959.35
  5. Step 5: Solve for x
    x = 46,959.35/233.97
  6. Step 6: Final answer
    x = 200.71

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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.