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Finding the Fourth Proportional to 217.60, 300.18 and 162.16

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Solution

The fourth proportional to 217.60, 300.18 and 162.16 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.60 : 300.18 = 162.16 : x
  2. Step 2: Convert to fraction form
    217.60/300.18 = 162.16/x
  3. Step 3: Cross multiply
    217.60x = 300.18 × 162.16
  4. Step 4: Simplify right side
    217.60x = 48,677.19
  5. Step 5: Solve for x
    x = 48,677.19/217.60
  6. Step 6: Final answer
    x = 223.70

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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.