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Finding the Fourth Proportional to 459.75, 689.75 and 167.24

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Solution

The fourth proportional to 459.75, 689.75 and 167.24 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 689.75 = 167.24 : x
  2. Step 2: Convert to fraction form
    459.75/689.75 = 167.24/x
  3. Step 3: Cross multiply
    459.75x = 689.75 × 167.24
  4. Step 4: Simplify right side
    459.75x = 115,353.79
  5. Step 5: Solve for x
    x = 115,353.79/459.75
  6. Step 6: Final answer
    x = 250.91

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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.