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Finding the Fourth Proportional to 186.64, 278.76 and 169.62

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Solution

The fourth proportional to 186.64, 278.76 and 169.62 is: 253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.64 : 278.76 = 169.62 : x
  2. Step 2: Convert to fraction form
    186.64/278.76 = 169.62/x
  3. Step 3: Cross multiply
    186.64x = 278.76 × 169.62
  4. Step 4: Simplify right side
    186.64x = 47,283.27
  5. Step 5: Solve for x
    x = 47,283.27/186.64
  6. Step 6: Final answer
    x = 253.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.