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Finding the Fourth Proportional to 456.33, 684.50 and 167.77

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Solution

The fourth proportional to 456.33, 684.50 and 167.77 is: 251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 684.50 = 167.77 : x
  2. Step 2: Convert to fraction form
    456.33/684.50 = 167.77/x
  3. Step 3: Cross multiply
    456.33x = 684.50 × 167.77
  4. Step 4: Simplify right side
    456.33x = 114,836.01
  5. Step 5: Solve for x
    x = 114,836.01/456.33
  6. Step 6: Final answer
    x = 251.65

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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.