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Finding the Fourth Proportional to 596.69, 895.03 and 163.84

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Solution

The fourth proportional to 596.69, 895.03 and 163.84 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.69 : 895.03 = 163.84 : x
  2. Step 2: Convert to fraction form
    596.69/895.03 = 163.84/x
  3. Step 3: Cross multiply
    596.69x = 895.03 × 163.84
  4. Step 4: Simplify right side
    596.69x = 146,641.72
  5. Step 5: Solve for x
    x = 146,641.72/596.69
  6. Step 6: Final answer
    x = 245.76

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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.