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Finding the Fourth Proportional to 233.97, 322.71 and 155.15

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Solution

The fourth proportional to 233.97, 322.71 and 155.15 is: 213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.97 : 322.71 = 155.15 : x
  2. Step 2: Convert to fraction form
    233.97/322.71 = 155.15/x
  3. Step 3: Cross multiply
    233.97x = 322.71 × 155.15
  4. Step 4: Simplify right side
    233.97x = 50,066.07
  5. Step 5: Solve for x
    x = 50,066.07/233.97
  6. Step 6: Final answer
    x = 213.98

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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.