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Finding the Fourth Proportional to 314.58, 433.97 and 198.06

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Solution

The fourth proportional to 314.58, 433.97 and 198.06 is: 273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.58 : 433.97 = 198.06 : x
  2. Step 2: Convert to fraction form
    314.58/433.97 = 198.06/x
  3. Step 3: Cross multiply
    314.58x = 433.97 × 198.06
  4. Step 4: Simplify right side
    314.58x = 85,951.11
  5. Step 5: Solve for x
    x = 85,951.11/314.58
  6. Step 6: Final answer
    x = 273.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.