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Finding the Fourth Proportional to 233.27, 322.05 and 159.81

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Solution

The fourth proportional to 233.27, 322.05 and 159.81 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.27 : 322.05 = 159.81 : x
  2. Step 2: Convert to fraction form
    233.27/322.05 = 159.81/x
  3. Step 3: Cross multiply
    233.27x = 322.05 × 159.81
  4. Step 4: Simplify right side
    233.27x = 51,466.81
  5. Step 5: Solve for x
    x = 51,466.81/233.27
  6. Step 6: Final answer
    x = 220.64

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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.