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Finding the Fourth Proportional to 176.33, 243.02 and 159.82

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Solution

The fourth proportional to 176.33, 243.02 and 159.82 is: 220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.33 : 243.02 = 159.82 : x
  2. Step 2: Convert to fraction form
    176.33/243.02 = 159.82/x
  3. Step 3: Cross multiply
    176.33x = 243.02 × 159.82
  4. Step 4: Simplify right side
    176.33x = 38,839.25
  5. Step 5: Solve for x
    x = 38,839.25/176.33
  6. Step 6: Final answer
    x = 220.26

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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.