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Finding the Fourth Proportional to 204.98, 282.84 and 135.07

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Solution

The fourth proportional to 204.98, 282.84 and 135.07 is: 186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 282.84 = 135.07 : x
  2. Step 2: Convert to fraction form
    204.98/282.84 = 135.07/x
  3. Step 3: Cross multiply
    204.98x = 282.84 × 135.07
  4. Step 4: Simplify right side
    204.98x = 38,202.74
  5. Step 5: Solve for x
    x = 38,202.74/204.98
  6. Step 6: Final answer
    x = 186.37

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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.