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Finding the Fourth Proportional to 486.31, 729.51 and 139.63

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Solution

The fourth proportional to 486.31, 729.51 and 139.63 is: 209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.31 : 729.51 = 139.63 : x
  2. Step 2: Convert to fraction form
    486.31/729.51 = 139.63/x
  3. Step 3: Cross multiply
    486.31x = 729.51 × 139.63
  4. Step 4: Simplify right side
    486.31x = 101,861.48
  5. Step 5: Solve for x
    x = 101,861.48/486.31
  6. Step 6: Final answer
    x = 209.46

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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.