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Finding the Fourth Proportional to 281.94, 421.41 and 245.08

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Solution

The fourth proportional to 281.94, 421.41 and 245.08 is: 366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 421.41 = 245.08 : x
  2. Step 2: Convert to fraction form
    281.94/421.41 = 245.08/x
  3. Step 3: Cross multiply
    281.94x = 421.41 × 245.08
  4. Step 4: Simplify right side
    281.94x = 103,279.16
  5. Step 5: Solve for x
    x = 103,279.16/281.94
  6. Step 6: Final answer
    x = 366.32

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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.