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Finding the Fourth Proportional to 255.10, 351.71 and 208.42

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Solution

The fourth proportional to 255.10, 351.71 and 208.42 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 351.71 = 208.42 : x
  2. Step 2: Convert to fraction form
    255.10/351.71 = 208.42/x
  3. Step 3: Cross multiply
    255.10x = 351.71 × 208.42
  4. Step 4: Simplify right side
    255.10x = 73,303.40
  5. Step 5: Solve for x
    x = 73,303.40/255.10
  6. Step 6: Final answer
    x = 287.36

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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.