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Finding the Fourth Proportional to 456.13, 684.24 and 182.16

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Solution

The fourth proportional to 456.13, 684.24 and 182.16 is: 273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.13 : 684.24 = 182.16 : x
  2. Step 2: Convert to fraction form
    456.13/684.24 = 182.16/x
  3. Step 3: Cross multiply
    456.13x = 684.24 × 182.16
  4. Step 4: Simplify right side
    456.13x = 124,641.16
  5. Step 5: Solve for x
    x = 124,641.16/456.13
  6. Step 6: Final answer
    x = 273.26

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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.