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Finding the Fourth Proportional to 309.98, 427.65 and 204.94

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Solution

The fourth proportional to 309.98, 427.65 and 204.94 is: 282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 427.65 = 204.94 : x
  2. Step 2: Convert to fraction form
    309.98/427.65 = 204.94/x
  3. Step 3: Cross multiply
    309.98x = 427.65 × 204.94
  4. Step 4: Simplify right side
    309.98x = 87,642.59
  5. Step 5: Solve for x
    x = 87,642.59/309.98
  6. Step 6: Final answer
    x = 282.74

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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.