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Finding the Fourth Proportional to 389.19, 537.04 and 221.13

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Solution

The fourth proportional to 389.19, 537.04 and 221.13 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.19 : 537.04 = 221.13 : x
  2. Step 2: Convert to fraction form
    389.19/537.04 = 221.13/x
  3. Step 3: Cross multiply
    389.19x = 537.04 × 221.13
  4. Step 4: Simplify right side
    389.19x = 118,757.95
  5. Step 5: Solve for x
    x = 118,757.95/389.19
  6. Step 6: Final answer
    x = 305.15

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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.