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Finding the Fourth Proportional to 389.82, 584.55 and 146.19

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Solution

The fourth proportional to 389.82, 584.55 and 146.19 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.82 : 584.55 = 146.19 : x
  2. Step 2: Convert to fraction form
    389.82/584.55 = 146.19/x
  3. Step 3: Cross multiply
    389.82x = 584.55 × 146.19
  4. Step 4: Simplify right side
    389.82x = 85,455.36
  5. Step 5: Solve for x
    x = 85,455.36/389.82
  6. Step 6: Final answer
    x = 219.22

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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.