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Finding the Fourth Proportional to 186.84, 257.86 and 178.64

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Solution

The fourth proportional to 186.84, 257.86 and 178.64 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 257.86 = 178.64 : x
  2. Step 2: Convert to fraction form
    186.84/257.86 = 178.64/x
  3. Step 3: Cross multiply
    186.84x = 257.86 × 178.64
  4. Step 4: Simplify right side
    186.84x = 46,064.11
  5. Step 5: Solve for x
    x = 46,064.11/186.84
  6. Step 6: Final answer
    x = 246.54

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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.