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Finding the Fourth Proportional to 456.21, 684.60 and 167.64

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Solution

The fourth proportional to 456.21, 684.60 and 167.64 is: 251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.21 : 684.60 = 167.64 : x
  2. Step 2: Convert to fraction form
    456.21/684.60 = 167.64/x
  3. Step 3: Cross multiply
    456.21x = 684.60 × 167.64
  4. Step 4: Simplify right side
    456.21x = 114,766.34
  5. Step 5: Solve for x
    x = 114,766.34/456.21
  6. Step 6: Final answer
    x = 251.56

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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.