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Finding the Fourth Proportional to 325.16, 487.41 and 170.99

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Solution

The fourth proportional to 325.16, 487.41 and 170.99 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.16 : 487.41 = 170.99 : x
  2. Step 2: Convert to fraction form
    325.16/487.41 = 170.99/x
  3. Step 3: Cross multiply
    325.16x = 487.41 × 170.99
  4. Step 4: Simplify right side
    325.16x = 83,339.80
  5. Step 5: Solve for x
    x = 83,339.80/325.16
  6. Step 6: Final answer
    x = 256.31

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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.