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Finding the Fourth Proportional to 358.64, 494.96 and 203.36

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Solution

The fourth proportional to 358.64, 494.96 and 203.36 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.64 : 494.96 = 203.36 : x
  2. Step 2: Convert to fraction form
    358.64/494.96 = 203.36/x
  3. Step 3: Cross multiply
    358.64x = 494.96 × 203.36
  4. Step 4: Simplify right side
    358.64x = 100,655.07
  5. Step 5: Solve for x
    x = 100,655.07/358.64
  6. Step 6: Final answer
    x = 280.66

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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.