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Finding the Fourth Proportional to 493.49, 740.08 and 164.36

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Solution

The fourth proportional to 493.49, 740.08 and 164.36 is: 246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.49 : 740.08 = 164.36 : x
  2. Step 2: Convert to fraction form
    493.49/740.08 = 164.36/x
  3. Step 3: Cross multiply
    493.49x = 740.08 × 164.36
  4. Step 4: Simplify right side
    493.49x = 121,639.55
  5. Step 5: Solve for x
    x = 121,639.55/493.49
  6. Step 6: Final answer
    x = 246.49

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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.