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Finding the Fourth Proportional to 529.29, 793.80 and 164.01

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Solution

The fourth proportional to 529.29, 793.80 and 164.01 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 793.80 = 164.01 : x
  2. Step 2: Convert to fraction form
    529.29/793.80 = 164.01/x
  3. Step 3: Cross multiply
    529.29x = 793.80 × 164.01
  4. Step 4: Simplify right side
    529.29x = 130,191.14
  5. Step 5: Solve for x
    x = 130,191.14/529.29
  6. Step 6: Final answer
    x = 245.97

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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.