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Finding the Fourth Proportional to 246.35, 369.60 and 164.40

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Solution

The fourth proportional to 246.35, 369.60 and 164.40 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.35 : 369.60 = 164.40 : x
  2. Step 2: Convert to fraction form
    246.35/369.60 = 164.40/x
  3. Step 3: Cross multiply
    246.35x = 369.60 × 164.40
  4. Step 4: Simplify right side
    246.35x = 60,762.24
  5. Step 5: Solve for x
    x = 60,762.24/246.35
  6. Step 6: Final answer
    x = 246.66

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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.