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Finding the Fourth Proportional to 493.36, 739.96 and 164.32

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Solution

The fourth proportional to 493.36, 739.96 and 164.32 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 739.96 = 164.32 : x
  2. Step 2: Convert to fraction form
    493.36/739.96 = 164.32/x
  3. Step 3: Cross multiply
    493.36x = 739.96 × 164.32
  4. Step 4: Simplify right side
    493.36x = 121,590.23
  5. Step 5: Solve for x
    x = 121,590.23/493.36
  6. Step 6: Final answer
    x = 246.45

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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.