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Finding the Fourth Proportional to 246.42, 370.17 and 192.42

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Solution

The fourth proportional to 246.42, 370.17 and 192.42 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.42 : 370.17 = 192.42 : x
  2. Step 2: Convert to fraction form
    246.42/370.17 = 192.42/x
  3. Step 3: Cross multiply
    246.42x = 370.17 × 192.42
  4. Step 4: Simplify right side
    246.42x = 71,228.11
  5. Step 5: Solve for x
    x = 71,228.11/246.42
  6. Step 6: Final answer
    x = 289.05

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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.