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Finding the Fourth Proportional to 598.85, 898.17 and 166

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Solution

The fourth proportional to 598.85, 898.17 and 166 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.85 : 898.17 = 166 : x
  2. Step 2: Convert to fraction form
    598.85/898.17 = 166/x
  3. Step 3: Cross multiply
    598.85x = 898.17 × 166
  4. Step 4: Simplify right side
    598.85x = 149,096.22
  5. Step 5: Solve for x
    x = 149,096.22/598.85
  6. Step 6: Final answer
    x = 248.97

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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.