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Finding the Fourth Proportional to 360.26, 497.16 and 205

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Solution

The fourth proportional to 360.26, 497.16 and 205 is: 282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.26 : 497.16 = 205 : x
  2. Step 2: Convert to fraction form
    360.26/497.16 = 205/x
  3. Step 3: Cross multiply
    360.26x = 497.16 × 205
  4. Step 4: Simplify right side
    360.26x = 101,917.80
  5. Step 5: Solve for x
    x = 101,917.80/360.26
  6. Step 6: Final answer
    x = 282.90

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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.