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Finding the Fourth Proportional to 255.71, 352.85 and 145.16

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Solution

The fourth proportional to 255.71, 352.85 and 145.16 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.71 : 352.85 = 145.16 : x
  2. Step 2: Convert to fraction form
    255.71/352.85 = 145.16/x
  3. Step 3: Cross multiply
    255.71x = 352.85 × 145.16
  4. Step 4: Simplify right side
    255.71x = 51,217.22
  5. Step 5: Solve for x
    x = 51,217.22/255.71
  6. Step 6: Final answer
    x = 200.30

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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.