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Finding the Fourth Proportional to 456.21, 684.32 and 182.37

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Solution

The fourth proportional to 456.21, 684.32 and 182.37 is: 273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.21 : 684.32 = 182.37 : x
  2. Step 2: Convert to fraction form
    456.21/684.32 = 182.37/x
  3. Step 3: Cross multiply
    456.21x = 684.32 × 182.37
  4. Step 4: Simplify right side
    456.21x = 124,796.13
  5. Step 5: Solve for x
    x = 124,796.13/456.21
  6. Step 6: Final answer
    x = 273.55

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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.