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Finding the Fourth Proportional to 488.74, 733.17 and 164.17

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Solution

The fourth proportional to 488.74, 733.17 and 164.17 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.74 : 733.17 = 164.17 : x
  2. Step 2: Convert to fraction form
    488.74/733.17 = 164.17/x
  3. Step 3: Cross multiply
    488.74x = 733.17 × 164.17
  4. Step 4: Simplify right side
    488.74x = 120,364.52
  5. Step 5: Solve for x
    x = 120,364.52/488.74
  6. Step 6: Final answer
    x = 246.28

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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.