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Finding the Fourth Proportional to 488.78, 733.28 and 164.14

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Solution

The fourth proportional to 488.78, 733.28 and 164.14 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.78 : 733.28 = 164.14 : x
  2. Step 2: Convert to fraction form
    488.78/733.28 = 164.14/x
  3. Step 3: Cross multiply
    488.78x = 733.28 × 164.14
  4. Step 4: Simplify right side
    488.78x = 120,360.58
  5. Step 5: Solve for x
    x = 120,360.58/488.78
  6. Step 6: Final answer
    x = 246.25

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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.