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Finding the Fourth Proportional to 219.99, 303.46 and 160.91

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Solution

The fourth proportional to 219.99, 303.46 and 160.91 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.99 : 303.46 = 160.91 : x
  2. Step 2: Convert to fraction form
    219.99/303.46 = 160.91/x
  3. Step 3: Cross multiply
    219.99x = 303.46 × 160.91
  4. Step 4: Simplify right side
    219.99x = 48,829.75
  5. Step 5: Solve for x
    x = 48,829.75/219.99
  6. Step 6: Final answer
    x = 221.96

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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.