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Finding the Fourth Proportional to 238.60, 358.44 and 198.10

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Solution

The fourth proportional to 238.60, 358.44 and 198.10 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.60 : 358.44 = 198.10 : x
  2. Step 2: Convert to fraction form
    238.60/358.44 = 198.10/x
  3. Step 3: Cross multiply
    238.60x = 358.44 × 198.10
  4. Step 4: Simplify right side
    238.60x = 71,006.96
  5. Step 5: Solve for x
    x = 71,006.96/238.60
  6. Step 6: Final answer
    x = 297.60

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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.