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Finding the Fourth Proportional to 529.86, 794.97 and 164.73

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Solution

The fourth proportional to 529.86, 794.97 and 164.73 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.86 : 794.97 = 164.73 : x
  2. Step 2: Convert to fraction form
    529.86/794.97 = 164.73/x
  3. Step 3: Cross multiply
    529.86x = 794.97 × 164.73
  4. Step 4: Simplify right side
    529.86x = 130,955.41
  5. Step 5: Solve for x
    x = 130,955.41/529.86
  6. Step 6: Final answer
    x = 247.15

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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.