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Finding the Fourth Proportional to 186, 278.64 and 178.08

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Solution

The fourth proportional to 186, 278.64 and 178.08 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186 : 278.64 = 178.08 : x
  2. Step 2: Convert to fraction form
    186/278.64 = 178.08/x
  3. Step 3: Cross multiply
    186x = 278.64 × 178.08
  4. Step 4: Simplify right side
    186x = 49,620.21
  5. Step 5: Solve for x
    x = 49,620.21/186
  6. Step 6: Final answer
    x = 266.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.