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Finding the Fourth Proportional to 246.46, 340.22 and 158.06

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Solution

The fourth proportional to 246.46, 340.22 and 158.06 is: 218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.46 : 340.22 = 158.06 : x
  2. Step 2: Convert to fraction form
    246.46/340.22 = 158.06/x
  3. Step 3: Cross multiply
    246.46x = 340.22 × 158.06
  4. Step 4: Simplify right side
    246.46x = 53,775.17
  5. Step 5: Solve for x
    x = 53,775.17/246.46
  6. Step 6: Final answer
    x = 218.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.