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Finding the Fourth Proportional to 255.76, 352.96 and 145.24

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Solution

The fourth proportional to 255.76, 352.96 and 145.24 is: 200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.76 : 352.96 = 145.24 : x
  2. Step 2: Convert to fraction form
    255.76/352.96 = 145.24/x
  3. Step 3: Cross multiply
    255.76x = 352.96 × 145.24
  4. Step 4: Simplify right side
    255.76x = 51,263.91
  5. Step 5: Solve for x
    x = 51,263.91/255.76
  6. Step 6: Final answer
    x = 200.44

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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.