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Finding the Fourth Proportional to 588.09, 882.16 and 198.10

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Solution

The fourth proportional to 588.09, 882.16 and 198.10 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 882.16 = 198.10 : x
  2. Step 2: Convert to fraction form
    588.09/882.16 = 198.10/x
  3. Step 3: Cross multiply
    588.09x = 882.16 × 198.10
  4. Step 4: Simplify right side
    588.09x = 174,753.20
  5. Step 5: Solve for x
    x = 174,753.20/588.09
  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.