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Finding the Fourth Proportional to 260.16, 358.83 and 204.81

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Solution

The fourth proportional to 260.16, 358.83 and 204.81 is: 282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 358.83 = 204.81 : x
  2. Step 2: Convert to fraction form
    260.16/358.83 = 204.81/x
  3. Step 3: Cross multiply
    260.16x = 358.83 × 204.81
  4. Step 4: Simplify right side
    260.16x = 73,491.97
  5. Step 5: Solve for x
    x = 73,491.97/260.16
  6. Step 6: Final answer
    x = 282.49

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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.