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Finding the Fourth Proportional to 245.46, 338.78 and 186.54

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Solution

The fourth proportional to 245.46, 338.78 and 186.54 is: 257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.46 : 338.78 = 186.54 : x
  2. Step 2: Convert to fraction form
    245.46/338.78 = 186.54/x
  3. Step 3: Cross multiply
    245.46x = 338.78 × 186.54
  4. Step 4: Simplify right side
    245.46x = 63,194.17
  5. Step 5: Solve for x
    x = 63,194.17/245.46
  6. Step 6: Final answer
    x = 257.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.