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Finding the Fourth Proportional to 456.09, 684.26 and 178.37

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Solution

The fourth proportional to 456.09, 684.26 and 178.37 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.09 : 684.26 = 178.37 : x
  2. Step 2: Convert to fraction form
    456.09/684.26 = 178.37/x
  3. Step 3: Cross multiply
    456.09x = 684.26 × 178.37
  4. Step 4: Simplify right side
    456.09x = 122,047.14
  5. Step 5: Solve for x
    x = 122,047.14/456.09
  6. Step 6: Final answer
    x = 267.59

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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.