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Finding the Fourth Proportional to 507.19, 760.79 and 182.56

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Solution

The fourth proportional to 507.19, 760.79 and 182.56 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.19 : 760.79 = 182.56 : x
  2. Step 2: Convert to fraction form
    507.19/760.79 = 182.56/x
  3. Step 3: Cross multiply
    507.19x = 760.79 × 182.56
  4. Step 4: Simplify right side
    507.19x = 138,889.82
  5. Step 5: Solve for x
    x = 138,889.82/507.19
  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.