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Finding the Fourth Proportional to 255.84, 353.09 and 145.38

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Solution

The fourth proportional to 255.84, 353.09 and 145.38 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 353.09 = 145.38 : x
  2. Step 2: Convert to fraction form
    255.84/353.09 = 145.38/x
  3. Step 3: Cross multiply
    255.84x = 353.09 × 145.38
  4. Step 4: Simplify right side
    255.84x = 51,332.22
  5. Step 5: Solve for x
    x = 51,332.22/255.84
  6. Step 6: Final answer
    x = 200.64

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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.