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Finding the Fourth Proportional to 161.76, 221.82 and 155.28

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Solution

The fourth proportional to 161.76, 221.82 and 155.28 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.76 : 221.82 = 155.28 : x
  2. Step 2: Convert to fraction form
    161.76/221.82 = 155.28/x
  3. Step 3: Cross multiply
    161.76x = 221.82 × 155.28
  4. Step 4: Simplify right side
    161.76x = 34,444.21
  5. Step 5: Solve for x
    x = 34,444.21/161.76
  6. Step 6: Final answer
    x = 212.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.