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Finding the Fourth Proportional to 598.77, 898.04 and 165.83

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Solution

The fourth proportional to 598.77, 898.04 and 165.83 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.77 : 898.04 = 165.83 : x
  2. Step 2: Convert to fraction form
    598.77/898.04 = 165.83/x
  3. Step 3: Cross multiply
    598.77x = 898.04 × 165.83
  4. Step 4: Simplify right side
    598.77x = 148,916.65
  5. Step 5: Solve for x
    x = 148,916.65/598.77
  6. Step 6: Final answer
    x = 248.70

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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.