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Finding the Fourth Proportional to 598.91, 898.26 and 165.97

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Solution

The fourth proportional to 598.91, 898.26 and 165.97 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.91 : 898.26 = 165.97 : x
  2. Step 2: Convert to fraction form
    598.91/898.26 = 165.97/x
  3. Step 3: Cross multiply
    598.91x = 898.26 × 165.97
  4. Step 4: Simplify right side
    598.91x = 149,084.21
  5. Step 5: Solve for x
    x = 149,084.21/598.91
  6. Step 6: Final answer
    x = 248.93

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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.