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Finding the Fourth Proportional to 534.09, 800.93 and 182.61

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Solution

The fourth proportional to 534.09, 800.93 and 182.61 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 800.93 = 182.61 : x
  2. Step 2: Convert to fraction form
    534.09/800.93 = 182.61/x
  3. Step 3: Cross multiply
    534.09x = 800.93 × 182.61
  4. Step 4: Simplify right side
    534.09x = 146,256.91
  5. Step 5: Solve for x
    x = 146,256.91/534.09
  6. Step 6: Final answer
    x = 273.84

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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.