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Finding the Fourth Proportional to 651.17, 976.75 and 164.22

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Solution

The fourth proportional to 651.17, 976.75 and 164.22 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.17 : 976.75 = 164.22 : x
  2. Step 2: Convert to fraction form
    651.17/976.75 = 164.22/x
  3. Step 3: Cross multiply
    651.17x = 976.75 × 164.22
  4. Step 4: Simplify right side
    651.17x = 160,401.89
  5. Step 5: Solve for x
    x = 160,401.89/651.17
  6. Step 6: Final answer
    x = 246.33

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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.