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Finding the Fourth Proportional to 524.13, 786.55 and 182.13

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Solution

The fourth proportional to 524.13, 786.55 and 182.13 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.13 : 786.55 = 182.13 : x
  2. Step 2: Convert to fraction form
    524.13/786.55 = 182.13/x
  3. Step 3: Cross multiply
    524.13x = 786.55 × 182.13
  4. Step 4: Simplify right side
    524.13x = 143,249.96
  5. Step 5: Solve for x
    x = 143,249.96/524.13
  6. Step 6: Final answer
    x = 273.31

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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.