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Finding the Fourth Proportional to 281.46, 420.17 and 245

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Solution

The fourth proportional to 281.46, 420.17 and 245 is: 365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.46 : 420.17 = 245 : x
  2. Step 2: Convert to fraction form
    281.46/420.17 = 245/x
  3. Step 3: Cross multiply
    281.46x = 420.17 × 245
  4. Step 4: Simplify right side
    281.46x = 102,940.43
  5. Step 5: Solve for x
    x = 102,940.43/281.46
  6. Step 6: Final answer
    x = 365.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.