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Finding the Fourth Proportional to 494.04, 740.81 and 164.86

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Solution

The fourth proportional to 494.04, 740.81 and 164.86 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.04 : 740.81 = 164.86 : x
  2. Step 2: Convert to fraction form
    494.04/740.81 = 164.86/x
  3. Step 3: Cross multiply
    494.04x = 740.81 × 164.86
  4. Step 4: Simplify right side
    494.04x = 122,133.38
  5. Step 5: Solve for x
    x = 122,133.38/494.04
  6. Step 6: Final answer
    x = 247.21

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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.