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Finding the Fourth Proportional to 494.12, 740.93 and 164.94

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Solution

The fourth proportional to 494.12, 740.93 and 164.94 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 740.93 = 164.94 : x
  2. Step 2: Convert to fraction form
    494.12/740.93 = 164.94/x
  3. Step 3: Cross multiply
    494.12x = 740.93 × 164.94
  4. Step 4: Simplify right side
    494.12x = 122,208.17
  5. Step 5: Solve for x
    x = 122,208.17/494.12
  6. Step 6: Final answer
    x = 247.33

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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.