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Finding the Fourth Proportional to 486.22, 729.24 and 197.50

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Solution

The fourth proportional to 486.22, 729.24 and 197.50 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.22 : 729.24 = 197.50 : x
  2. Step 2: Convert to fraction form
    486.22/729.24 = 197.50/x
  3. Step 3: Cross multiply
    486.22x = 729.24 × 197.50
  4. Step 4: Simplify right side
    486.22x = 144,024.90
  5. Step 5: Solve for x
    x = 144,024.90/486.22
  6. Step 6: Final answer
    x = 296.21

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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.