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Finding the Fourth Proportional to 596.64, 895 and 163.84

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Solution

The fourth proportional to 596.64, 895 and 163.84 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.64 : 895 = 163.84 : x
  2. Step 2: Convert to fraction form
    596.64/895 = 163.84/x
  3. Step 3: Cross multiply
    596.64x = 895 × 163.84
  4. Step 4: Simplify right side
    596.64x = 146,636.80
  5. Step 5: Solve for x
    x = 146,636.80/596.64
  6. Step 6: Final answer
    x = 245.77

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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.