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Finding the Fourth Proportional to 219.64, 302.70 and 161.32

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Solution

The fourth proportional to 219.64, 302.70 and 161.32 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 302.70 = 161.32 : x
  2. Step 2: Convert to fraction form
    219.64/302.70 = 161.32/x
  3. Step 3: Cross multiply
    219.64x = 302.70 × 161.32
  4. Step 4: Simplify right side
    219.64x = 48,831.56
  5. Step 5: Solve for x
    x = 48,831.56/219.64
  6. Step 6: Final answer
    x = 222.33

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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.