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Finding the Fourth Proportional to 246.48, 370 and 118.32

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Solution

The fourth proportional to 246.48, 370 and 118.32 is: 177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.48 : 370 = 118.32 : x
  2. Step 2: Convert to fraction form
    246.48/370 = 118.32/x
  3. Step 3: Cross multiply
    246.48x = 370 × 118.32
  4. Step 4: Simplify right side
    246.48x = 43,778.40
  5. Step 5: Solve for x
    x = 43,778.40/246.48
  6. Step 6: Final answer
    x = 177.61

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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.