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Finding the Fourth Proportional to 258, 355.92 and 208.94

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Solution

The fourth proportional to 258, 355.92 and 208.94 is: 288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 355.92 = 208.94 : x
  2. Step 2: Convert to fraction form
    258/355.92 = 208.94/x
  3. Step 3: Cross multiply
    258x = 355.92 × 208.94
  4. Step 4: Simplify right side
    258x = 74,365.92
  5. Step 5: Solve for x
    x = 74,365.92/258
  6. Step 6: Final answer
    x = 288.24

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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.