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Finding the Fourth Proportional to 459.12, 688.17 and 198.93

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Solution

The fourth proportional to 459.12, 688.17 and 198.93 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 688.17 = 198.93 : x
  2. Step 2: Convert to fraction form
    459.12/688.17 = 198.93/x
  3. Step 3: Cross multiply
    459.12x = 688.17 × 198.93
  4. Step 4: Simplify right side
    459.12x = 136,897.66
  5. Step 5: Solve for x
    x = 136,897.66/459.12
  6. Step 6: Final answer
    x = 298.17

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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.