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Finding the Fourth Proportional to 260.38, 359.39 and 205.02

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Solution

The fourth proportional to 260.38, 359.39 and 205.02 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.38 : 359.39 = 205.02 : x
  2. Step 2: Convert to fraction form
    260.38/359.39 = 205.02/x
  3. Step 3: Cross multiply
    260.38x = 359.39 × 205.02
  4. Step 4: Simplify right side
    260.38x = 73,681.11
  5. Step 5: Solve for x
    x = 73,681.11/260.38
  6. Step 6: Final answer
    x = 282.98

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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.