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Finding the Fourth Proportional to 488.95, 733.20 and 164.09

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Solution

The fourth proportional to 488.95, 733.20 and 164.09 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.95 : 733.20 = 164.09 : x
  2. Step 2: Convert to fraction form
    488.95/733.20 = 164.09/x
  3. Step 3: Cross multiply
    488.95x = 733.20 × 164.09
  4. Step 4: Simplify right side
    488.95x = 120,312.93
  5. Step 5: Solve for x
    x = 120,312.93/488.95
  6. Step 6: Final answer
    x = 246.06

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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.