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Finding the Fourth Proportional to 246.66, 369.91 and 116.58

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Solution

The fourth proportional to 246.66, 369.91 and 116.58 is: 174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.66 : 369.91 = 116.58 : x
  2. Step 2: Convert to fraction form
    246.66/369.91 = 116.58/x
  3. Step 3: Cross multiply
    246.66x = 369.91 × 116.58
  4. Step 4: Simplify right side
    246.66x = 43,125.64
  5. Step 5: Solve for x
    x = 43,125.64/246.66
  6. Step 6: Final answer
    x = 174.84

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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.