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Finding the Fourth Proportional to 458.03, 686.82 and 198.02

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Solution

The fourth proportional to 458.03, 686.82 and 198.02 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.03 : 686.82 = 198.02 : x
  2. Step 2: Convert to fraction form
    458.03/686.82 = 198.02/x
  3. Step 3: Cross multiply
    458.03x = 686.82 × 198.02
  4. Step 4: Simplify right side
    458.03x = 136,000.66
  5. Step 5: Solve for x
    x = 136,000.66/458.03
  6. Step 6: Final answer
    x = 296.93

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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.