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Finding the Fourth Proportional to 246.13, 369.21 and 117.88

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Solution

The fourth proportional to 246.13, 369.21 and 117.88 is: 176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.13 : 369.21 = 117.88 : x
  2. Step 2: Convert to fraction form
    246.13/369.21 = 117.88/x
  3. Step 3: Cross multiply
    246.13x = 369.21 × 117.88
  4. Step 4: Simplify right side
    246.13x = 43,520.63
  5. Step 5: Solve for x
    x = 43,520.63/246.13
  6. Step 6: Final answer
    x = 176.82

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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.