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Finding the Fourth Proportional to 255.66, 352.83 and 145.17

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Solution

The fourth proportional to 255.66, 352.83 and 145.17 is: 200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 352.83 = 145.17 : x
  2. Step 2: Convert to fraction form
    255.66/352.83 = 145.17/x
  3. Step 3: Cross multiply
    255.66x = 352.83 × 145.17
  4. Step 4: Simplify right side
    255.66x = 51,220.33
  5. Step 5: Solve for x
    x = 51,220.33/255.66
  6. Step 6: Final answer
    x = 200.35

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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.