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Finding the Fourth Proportional to 255.70, 352.85 and 145.17

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Solution

The fourth proportional to 255.70, 352.85 and 145.17 is: 200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 352.85 = 145.17 : x
  2. Step 2: Convert to fraction form
    255.70/352.85 = 145.17/x
  3. Step 3: Cross multiply
    255.70x = 352.85 × 145.17
  4. Step 4: Simplify right side
    255.70x = 51,223.60
  5. Step 5: Solve for x
    x = 51,223.60/255.70
  6. Step 6: Final answer
    x = 200.33

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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.