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Finding the Fourth Proportional to 186.68, 257.06 and 162.12

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Solution

The fourth proportional to 186.68, 257.06 and 162.12 is: 223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 257.06 = 162.12 : x
  2. Step 2: Convert to fraction form
    186.68/257.06 = 162.12/x
  3. Step 3: Cross multiply
    186.68x = 257.06 × 162.12
  4. Step 4: Simplify right side
    186.68x = 41,674.57
  5. Step 5: Solve for x
    x = 41,674.57/186.68
  6. Step 6: Final answer
    x = 223.24

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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.