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Finding the Fourth Proportional to 160.52, 222.82 and 156.68

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Solution

The fourth proportional to 160.52, 222.82 and 156.68 is: 217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.52 : 222.82 = 156.68 : x
  2. Step 2: Convert to fraction form
    160.52/222.82 = 156.68/x
  3. Step 3: Cross multiply
    160.52x = 222.82 × 156.68
  4. Step 4: Simplify right side
    160.52x = 34,911.44
  5. Step 5: Solve for x
    x = 34,911.44/160.52
  6. Step 6: Final answer
    x = 217.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.