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Finding the Fourth Proportional to 309.84, 427.59 and 205.02

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Solution

The fourth proportional to 309.84, 427.59 and 205.02 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 427.59 = 205.02 : x
  2. Step 2: Convert to fraction form
    309.84/427.59 = 205.02/x
  3. Step 3: Cross multiply
    309.84x = 427.59 × 205.02
  4. Step 4: Simplify right side
    309.84x = 87,664.50
  5. Step 5: Solve for x
    x = 87,664.50/309.84
  6. Step 6: Final answer
    x = 282.93

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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.