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Finding the Fourth Proportional to 254.93, 352.32 and 192.74

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Solution

The fourth proportional to 254.93, 352.32 and 192.74 is: 266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.93 : 352.32 = 192.74 : x
  2. Step 2: Convert to fraction form
    254.93/352.32 = 192.74/x
  3. Step 3: Cross multiply
    254.93x = 352.32 × 192.74
  4. Step 4: Simplify right side
    254.93x = 67,907.32
  5. Step 5: Solve for x
    x = 67,907.32/254.93
  6. Step 6: Final answer
    x = 266.38

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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.