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Finding the Fourth Proportional to 186.81, 257.82 and 155.67

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Solution

The fourth proportional to 186.81, 257.82 and 155.67 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.81 : 257.82 = 155.67 : x
  2. Step 2: Convert to fraction form
    186.81/257.82 = 155.67/x
  3. Step 3: Cross multiply
    186.81x = 257.82 × 155.67
  4. Step 4: Simplify right side
    186.81x = 40,134.84
  5. Step 5: Solve for x
    x = 40,134.84/186.81
  6. Step 6: Final answer
    x = 214.84

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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.