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Finding the Fourth Proportional to 258.37, 356.64 and 206.01

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Solution

The fourth proportional to 258.37, 356.64 and 206.01 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.37 : 356.64 = 206.01 : x
  2. Step 2: Convert to fraction form
    258.37/356.64 = 206.01/x
  3. Step 3: Cross multiply
    258.37x = 356.64 × 206.01
  4. Step 4: Simplify right side
    258.37x = 73,470.38
  5. Step 5: Solve for x
    x = 73,470.38/258.37
  6. Step 6: Final answer
    x = 284.36

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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.