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Finding the Fourth Proportional to 260.70, 360.03 and 206.02

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Solution

The fourth proportional to 260.70, 360.03 and 206.02 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 360.03 = 206.02 : x
  2. Step 2: Convert to fraction form
    260.70/360.03 = 206.02/x
  3. Step 3: Cross multiply
    260.70x = 360.03 × 206.02
  4. Step 4: Simplify right side
    260.70x = 74,173.38
  5. Step 5: Solve for x
    x = 74,173.38/260.70
  6. Step 6: Final answer
    x = 284.52

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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.