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Finding the Fourth Proportional to 596.91, 895.42 and 164.07

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Solution

The fourth proportional to 596.91, 895.42 and 164.07 is: 246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.91 : 895.42 = 164.07 : x
  2. Step 2: Convert to fraction form
    596.91/895.42 = 164.07/x
  3. Step 3: Cross multiply
    596.91x = 895.42 × 164.07
  4. Step 4: Simplify right side
    596.91x = 146,911.56
  5. Step 5: Solve for x
    x = 146,911.56/596.91
  6. Step 6: Final answer
    x = 246.12

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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.