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Finding the Fourth Proportional to 486.74, 729.99 and 140.06

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Solution

The fourth proportional to 486.74, 729.99 and 140.06 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.74 : 729.99 = 140.06 : x
  2. Step 2: Convert to fraction form
    486.74/729.99 = 140.06/x
  3. Step 3: Cross multiply
    486.74x = 729.99 × 140.06
  4. Step 4: Simplify right side
    486.74x = 102,242.40
  5. Step 5: Solve for x
    x = 102,242.40/486.74
  6. Step 6: Final answer
    x = 210.06

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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.