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Finding the Fourth Proportional to 255.72, 352.59 and 208.92

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Solution

The fourth proportional to 255.72, 352.59 and 208.92 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.72 : 352.59 = 208.92 : x
  2. Step 2: Convert to fraction form
    255.72/352.59 = 208.92/x
  3. Step 3: Cross multiply
    255.72x = 352.59 × 208.92
  4. Step 4: Simplify right side
    255.72x = 73,663.10
  5. Step 5: Solve for x
    x = 73,663.10/255.72
  6. Step 6: Final answer
    x = 288.06

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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.