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Finding the Fourth Proportional to 260.52, 359.59 and 204.47

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Solution

The fourth proportional to 260.52, 359.59 and 204.47 is: 282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 359.59 = 204.47 : x
  2. Step 2: Convert to fraction form
    260.52/359.59 = 204.47/x
  3. Step 3: Cross multiply
    260.52x = 359.59 × 204.47
  4. Step 4: Simplify right side
    260.52x = 73,526.81
  5. Step 5: Solve for x
    x = 73,526.81/260.52
  6. Step 6: Final answer
    x = 282.24

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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.