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Finding the Fourth Proportional to 360.19, 497.06 and 204.94

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Solution

The fourth proportional to 360.19, 497.06 and 204.94 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.19 : 497.06 = 204.94 : x
  2. Step 2: Convert to fraction form
    360.19/497.06 = 204.94/x
  3. Step 3: Cross multiply
    360.19x = 497.06 × 204.94
  4. Step 4: Simplify right side
    360.19x = 101,866.75
  5. Step 5: Solve for x
    x = 101,866.75/360.19
  6. Step 6: Final answer
    x = 282.82

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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.