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Finding the Fourth Proportional to 257.67, 386.00 and 192.75

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Solution

The fourth proportional to 257.67, 386.00 and 192.75 is: 288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.67 : 386.00 = 192.75 : x
  2. Step 2: Convert to fraction form
    257.67/386.00 = 192.75/x
  3. Step 3: Cross multiply
    257.67x = 386.00 × 192.75
  4. Step 4: Simplify right side
    257.67x = 74,400.54
  5. Step 5: Solve for x
    x = 74,400.54/257.67
  6. Step 6: Final answer
    x = 288.74

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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.