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Finding the Fourth Proportional to 299.07, 412.64 and 188.49

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Solution

The fourth proportional to 299.07, 412.64 and 188.49 is: 260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 412.64 = 188.49 : x
  2. Step 2: Convert to fraction form
    299.07/412.64 = 188.49/x
  3. Step 3: Cross multiply
    299.07x = 412.64 × 188.49
  4. Step 4: Simplify right side
    299.07x = 77,777.57
  5. Step 5: Solve for x
    x = 77,777.57/299.07
  6. Step 6: Final answer
    x = 260.06

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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.