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Finding the Fourth Proportional to 246.32, 339.72 and 202.58

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Solution

The fourth proportional to 246.32, 339.72 and 202.58 is: 279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.32 : 339.72 = 202.58 : x
  2. Step 2: Convert to fraction form
    246.32/339.72 = 202.58/x
  3. Step 3: Cross multiply
    246.32x = 339.72 × 202.58
  4. Step 4: Simplify right side
    246.32x = 68,820.48
  5. Step 5: Solve for x
    x = 68,820.48/246.32
  6. Step 6: Final answer
    x = 279.39

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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.