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Finding the Fourth Proportional to 186.16, 256.68 and 162.76

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Solution

The fourth proportional to 186.16, 256.68 and 162.76 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 256.68 = 162.76 : x
  2. Step 2: Convert to fraction form
    186.16/256.68 = 162.76/x
  3. Step 3: Cross multiply
    186.16x = 256.68 × 162.76
  4. Step 4: Simplify right side
    186.16x = 41,777.24
  5. Step 5: Solve for x
    x = 41,777.24/186.16
  6. Step 6: Final answer
    x = 224.42

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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.