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Finding the Fourth Proportional to 493.85, 740.52 and 164.67

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Solution

The fourth proportional to 493.85, 740.52 and 164.67 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.85 : 740.52 = 164.67 : x
  2. Step 2: Convert to fraction form
    493.85/740.52 = 164.67/x
  3. Step 3: Cross multiply
    493.85x = 740.52 × 164.67
  4. Step 4: Simplify right side
    493.85x = 121,939.58
  5. Step 5: Solve for x
    x = 121,939.58/493.85
  6. Step 6: Final answer
    x = 246.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.