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Finding the Fourth Proportional to 529.50, 794.14 and 164.30

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Solution

The fourth proportional to 529.50, 794.14 and 164.30 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 794.14 = 164.30 : x
  2. Step 2: Convert to fraction form
    529.50/794.14 = 164.30/x
  3. Step 3: Cross multiply
    529.50x = 794.14 × 164.30
  4. Step 4: Simplify right side
    529.50x = 130,477.20
  5. Step 5: Solve for x
    x = 130,477.20/529.50
  6. Step 6: Final answer
    x = 246.42

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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.