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Finding the Fourth Proportional to 619.78, 929.64 and 163.78

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Solution

The fourth proportional to 619.78, 929.64 and 163.78 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.78 : 929.64 = 163.78 : x
  2. Step 2: Convert to fraction form
    619.78/929.64 = 163.78/x
  3. Step 3: Cross multiply
    619.78x = 929.64 × 163.78
  4. Step 4: Simplify right side
    619.78x = 152,256.44
  5. Step 5: Solve for x
    x = 152,256.44/619.78
  6. Step 6: Final answer
    x = 245.66

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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.