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Finding the Fourth Proportional to 275.51, 412.25 and 255.06

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Solution

The fourth proportional to 275.51, 412.25 and 255.06 is: 381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.51 : 412.25 = 255.06 : x
  2. Step 2: Convert to fraction form
    275.51/412.25 = 255.06/x
  3. Step 3: Cross multiply
    275.51x = 412.25 × 255.06
  4. Step 4: Simplify right side
    275.51x = 105,147.21
  5. Step 5: Solve for x
    x = 105,147.21/275.51
  6. Step 6: Final answer
    x = 381.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.