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Finding the Fourth Proportional to 281.80, 419.37 and 278.92

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Solution

The fourth proportional to 281.80, 419.37 and 278.92 is: 415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 419.37 = 278.92 : x
  2. Step 2: Convert to fraction form
    281.80/419.37 = 278.92/x
  3. Step 3: Cross multiply
    281.80x = 419.37 × 278.92
  4. Step 4: Simplify right side
    281.80x = 116,970.68
  5. Step 5: Solve for x
    x = 116,970.68/281.80
  6. Step 6: Final answer
    x = 415.08

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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.