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Finding the Fourth Proportional to 225.84, 338.40 and 186.96

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Solution

The fourth proportional to 225.84, 338.40 and 186.96 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 338.40 = 186.96 : x
  2. Step 2: Convert to fraction form
    225.84/338.40 = 186.96/x
  3. Step 3: Cross multiply
    225.84x = 338.40 × 186.96
  4. Step 4: Simplify right side
    225.84x = 63,267.26
  5. Step 5: Solve for x
    x = 63,267.26/225.84
  6. Step 6: Final answer
    x = 280.14

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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.