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Finding the Fourth Proportional to 299.32, 412.98 and 188.74

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Solution

The fourth proportional to 299.32, 412.98 and 188.74 is: 260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 412.98 = 188.74 : x
  2. Step 2: Convert to fraction form
    299.32/412.98 = 188.74/x
  3. Step 3: Cross multiply
    299.32x = 412.98 × 188.74
  4. Step 4: Simplify right side
    299.32x = 77,945.85
  5. Step 5: Solve for x
    x = 77,945.85/299.32
  6. Step 6: Final answer
    x = 260.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.