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Finding the Fourth Proportional to 162.16, 224.71 and 160.18

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Solution

The fourth proportional to 162.16, 224.71 and 160.18 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.16 : 224.71 = 160.18 : x
  2. Step 2: Convert to fraction form
    162.16/224.71 = 160.18/x
  3. Step 3: Cross multiply
    162.16x = 224.71 × 160.18
  4. Step 4: Simplify right side
    162.16x = 35,994.05
  5. Step 5: Solve for x
    x = 35,994.05/162.16
  6. Step 6: Final answer
    x = 221.97

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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.