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Finding the Fourth Proportional to 186.65, 257.33 and 134.81

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Solution

The fourth proportional to 186.65, 257.33 and 134.81 is: 185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.65 : 257.33 = 134.81 : x
  2. Step 2: Convert to fraction form
    186.65/257.33 = 134.81/x
  3. Step 3: Cross multiply
    186.65x = 257.33 × 134.81
  4. Step 4: Simplify right side
    186.65x = 34,689.98
  5. Step 5: Solve for x
    x = 34,689.98/186.65
  6. Step 6: Final answer
    x = 185.86

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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.