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Finding the Fourth Proportional to 506.71, 760.21 and 182.08

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Solution

The fourth proportional to 506.71, 760.21 and 182.08 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.71 : 760.21 = 182.08 : x
  2. Step 2: Convert to fraction form
    506.71/760.21 = 182.08/x
  3. Step 3: Cross multiply
    506.71x = 760.21 × 182.08
  4. Step 4: Simplify right side
    506.71x = 138,420.03
  5. Step 5: Solve for x
    x = 138,420.03/506.71
  6. Step 6: Final answer
    x = 273.17

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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.