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Finding the Fourth Proportional to 255.48, 352.39 and 216.51

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Solution

The fourth proportional to 255.48, 352.39 and 216.51 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.48 : 352.39 = 216.51 : x
  2. Step 2: Convert to fraction form
    255.48/352.39 = 216.51/x
  3. Step 3: Cross multiply
    255.48x = 352.39 × 216.51
  4. Step 4: Simplify right side
    255.48x = 76,295.96
  5. Step 5: Solve for x
    x = 76,295.96/255.48
  6. Step 6: Final answer
    x = 298.64

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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.