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Finding the Fourth Proportional to 219.67, 302.60 and 170.46

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Solution

The fourth proportional to 219.67, 302.60 and 170.46 is: 234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.67 : 302.60 = 170.46 : x
  2. Step 2: Convert to fraction form
    219.67/302.60 = 170.46/x
  3. Step 3: Cross multiply
    219.67x = 302.60 × 170.46
  4. Step 4: Simplify right side
    219.67x = 51,581.62
  5. Step 5: Solve for x
    x = 51,581.62/219.67
  6. Step 6: Final answer
    x = 234.82

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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.