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Finding the Fourth Proportional to 222.48, 334.98 and 186.30

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Solution

The fourth proportional to 222.48, 334.98 and 186.30 is: 280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.48 : 334.98 = 186.30 : x
  2. Step 2: Convert to fraction form
    222.48/334.98 = 186.30/x
  3. Step 3: Cross multiply
    222.48x = 334.98 × 186.30
  4. Step 4: Simplify right side
    222.48x = 62,406.77
  5. Step 5: Solve for x
    x = 62,406.77/222.48
  6. Step 6: Final answer
    x = 280.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.