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Finding the Fourth Proportional to 186.58, 256.82 and 142.84

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Solution

The fourth proportional to 186.58, 256.82 and 142.84 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 256.82 = 142.84 : x
  2. Step 2: Convert to fraction form
    186.58/256.82 = 142.84/x
  3. Step 3: Cross multiply
    186.58x = 256.82 × 142.84
  4. Step 4: Simplify right side
    186.58x = 36,684.17
  5. Step 5: Solve for x
    x = 36,684.17/186.58
  6. Step 6: Final answer
    x = 196.61

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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.