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Finding the Fourth Proportional to 246.71, 369.66 and 164.90

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Solution

The fourth proportional to 246.71, 369.66 and 164.90 is: 247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.71 : 369.66 = 164.90 : x
  2. Step 2: Convert to fraction form
    246.71/369.66 = 164.90/x
  3. Step 3: Cross multiply
    246.71x = 369.66 × 164.90
  4. Step 4: Simplify right side
    246.71x = 60,956.93
  5. Step 5: Solve for x
    x = 60,956.93/246.71
  6. Step 6: Final answer
    x = 247.08

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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.