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Finding the Fourth Proportional to 651.78, 977.64 and 164.85

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Solution

The fourth proportional to 651.78, 977.64 and 164.85 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 977.64 = 164.85 : x
  2. Step 2: Convert to fraction form
    651.78/977.64 = 164.85/x
  3. Step 3: Cross multiply
    651.78x = 977.64 × 164.85
  4. Step 4: Simplify right side
    651.78x = 161,163.95
  5. Step 5: Solve for x
    x = 161,163.95/651.78
  6. Step 6: Final answer
    x = 247.27

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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.