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Finding the Fourth Proportional to 233.92, 322.70 and 160.11

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Solution

The fourth proportional to 233.92, 322.70 and 160.11 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 322.70 = 160.11 : x
  2. Step 2: Convert to fraction form
    233.92/322.70 = 160.11/x
  3. Step 3: Cross multiply
    233.92x = 322.70 × 160.11
  4. Step 4: Simplify right side
    233.92x = 51,667.50
  5. Step 5: Solve for x
    x = 51,667.50/233.92
  6. Step 6: Final answer
    x = 220.88

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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.