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Finding the Fourth Proportional to 578.19, 867.16 and 167.23

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Solution

The fourth proportional to 578.19, 867.16 and 167.23 is: 250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 867.16 = 167.23 : x
  2. Step 2: Convert to fraction form
    578.19/867.16 = 167.23/x
  3. Step 3: Cross multiply
    578.19x = 867.16 × 167.23
  4. Step 4: Simplify right side
    578.19x = 145,015.17
  5. Step 5: Solve for x
    x = 145,015.17/578.19
  6. Step 6: Final answer
    x = 250.81

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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.