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Finding the Fourth Proportional to 598.86, 898.14 and 165.90

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Solution

The fourth proportional to 598.86, 898.14 and 165.90 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 898.14 = 165.90 : x
  2. Step 2: Convert to fraction form
    598.86/898.14 = 165.90/x
  3. Step 3: Cross multiply
    598.86x = 898.14 × 165.90
  4. Step 4: Simplify right side
    598.86x = 149,001.43
  5. Step 5: Solve for x
    x = 149,001.43/598.86
  6. Step 6: Final answer
    x = 248.81

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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.