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Finding the Fourth Proportional to 486.64, 729.96 and 198.10

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Solution

The fourth proportional to 486.64, 729.96 and 198.10 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.64 : 729.96 = 198.10 : x
  2. Step 2: Convert to fraction form
    486.64/729.96 = 198.10/x
  3. Step 3: Cross multiply
    486.64x = 729.96 × 198.10
  4. Step 4: Simplify right side
    486.64x = 144,605.08
  5. Step 5: Solve for x
    x = 144,605.08/486.64
  6. Step 6: Final answer
    x = 297.15

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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.