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Finding the Fourth Proportional to 389.66, 584.50 and 146.14

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Solution

The fourth proportional to 389.66, 584.50 and 146.14 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.66 : 584.50 = 146.14 : x
  2. Step 2: Convert to fraction form
    389.66/584.50 = 146.14/x
  3. Step 3: Cross multiply
    389.66x = 584.50 × 146.14
  4. Step 4: Simplify right side
    389.66x = 85,418.83
  5. Step 5: Solve for x
    x = 85,418.83/389.66
  6. Step 6: Final answer
    x = 219.21

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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.