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Finding the Fourth Proportional to 529.75, 794.45 and 159.51

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Solution

The fourth proportional to 529.75, 794.45 and 159.51 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.75 : 794.45 = 159.51 : x
  2. Step 2: Convert to fraction form
    529.75/794.45 = 159.51/x
  3. Step 3: Cross multiply
    529.75x = 794.45 × 159.51
  4. Step 4: Simplify right side
    529.75x = 126,723.12
  5. Step 5: Solve for x
    x = 126,723.12/529.75
  6. Step 6: Final answer
    x = 239.21

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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.