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Finding the Fourth Proportional to 246.32, 339.84 and 202.64

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Solution

The fourth proportional to 246.32, 339.84 and 202.64 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.32 : 339.84 = 202.64 : x
  2. Step 2: Convert to fraction form
    246.32/339.84 = 202.64/x
  3. Step 3: Cross multiply
    246.32x = 339.84 × 202.64
  4. Step 4: Simplify right side
    246.32x = 68,865.18
  5. Step 5: Solve for x
    x = 68,865.18/246.32
  6. Step 6: Final answer
    x = 279.58

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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.