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Finding the Fourth Proportional to 506.84, 760.41 and 182.23

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Solution

The fourth proportional to 506.84, 760.41 and 182.23 is: 273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 760.41 = 182.23 : x
  2. Step 2: Convert to fraction form
    506.84/760.41 = 182.23/x
  3. Step 3: Cross multiply
    506.84x = 760.41 × 182.23
  4. Step 4: Simplify right side
    506.84x = 138,569.51
  5. Step 5: Solve for x
    x = 138,569.51/506.84
  6. Step 6: Final answer
    x = 273.40

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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.