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Finding the Fourth Proportional to 219.19, 328.42 and 146.83

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Solution

The fourth proportional to 219.19, 328.42 and 146.83 is: 220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.19 : 328.42 = 146.83 : x
  2. Step 2: Convert to fraction form
    219.19/328.42 = 146.83/x
  3. Step 3: Cross multiply
    219.19x = 328.42 × 146.83
  4. Step 4: Simplify right side
    219.19x = 48,221.91
  5. Step 5: Solve for x
    x = 48,221.91/219.19
  6. Step 6: Final answer
    x = 220.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.