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Finding the Fourth Proportional to 233.96, 322.96 and 160.53

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Solution

The fourth proportional to 233.96, 322.96 and 160.53 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.96 : 322.96 = 160.53 : x
  2. Step 2: Convert to fraction form
    233.96/322.96 = 160.53/x
  3. Step 3: Cross multiply
    233.96x = 322.96 × 160.53
  4. Step 4: Simplify right side
    233.96x = 51,845.73
  5. Step 5: Solve for x
    x = 51,845.73/233.96
  6. Step 6: Final answer
    x = 221.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.