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Finding the Fourth Proportional to 222.95, 334.37 and 186.77

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Solution

The fourth proportional to 222.95, 334.37 and 186.77 is: 280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.95 : 334.37 = 186.77 : x
  2. Step 2: Convert to fraction form
    222.95/334.37 = 186.77/x
  3. Step 3: Cross multiply
    222.95x = 334.37 × 186.77
  4. Step 4: Simplify right side
    222.95x = 62,449.08
  5. Step 5: Solve for x
    x = 62,449.08/222.95
  6. Step 6: Final answer
    x = 280.11

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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.