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Finding the Fourth Proportional to 205.84, 308.50 and 90.24

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Solution

The fourth proportional to 205.84, 308.50 and 90.24 is: 135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 308.50 = 90.24 : x
  2. Step 2: Convert to fraction form
    205.84/308.50 = 90.24/x
  3. Step 3: Cross multiply
    205.84x = 308.50 × 90.24
  4. Step 4: Simplify right side
    205.84x = 27,839.04
  5. Step 5: Solve for x
    x = 27,839.04/205.84
  6. Step 6: Final answer
    x = 135.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.