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Finding the Fourth Proportional to 186.77, 279.75 and 178.31

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Solution

The fourth proportional to 186.77, 279.75 and 178.31 is: 267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.77 : 279.75 = 178.31 : x
  2. Step 2: Convert to fraction form
    186.77/279.75 = 178.31/x
  3. Step 3: Cross multiply
    186.77x = 279.75 × 178.31
  4. Step 4: Simplify right side
    186.77x = 49,880.82
  5. Step 5: Solve for x
    x = 49,880.82/186.77
  6. Step 6: Final answer
    x = 267.08

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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.