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Finding the Fourth Proportional to 299.25, 412.86 and 188.75

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Solution

The fourth proportional to 299.25, 412.86 and 188.75 is: 260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 412.86 = 188.75 : x
  2. Step 2: Convert to fraction form
    299.25/412.86 = 188.75/x
  3. Step 3: Cross multiply
    299.25x = 412.86 × 188.75
  4. Step 4: Simplify right side
    299.25x = 77,929.06
  5. Step 5: Solve for x
    x = 77,929.06/299.25
  6. Step 6: Final answer
    x = 260.41

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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.