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Finding the Fourth Proportional to 458.02, 686.82 and 198

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Solution

The fourth proportional to 458.02, 686.82 and 198 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 686.82 = 198 : x
  2. Step 2: Convert to fraction form
    458.02/686.82 = 198/x
  3. Step 3: Cross multiply
    458.02x = 686.82 × 198
  4. Step 4: Simplify right side
    458.02x = 135,990.36
  5. Step 5: Solve for x
    x = 135,990.36/458.02
  6. Step 6: Final answer
    x = 296.91

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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.