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Finding the Fourth Proportional to 281.80, 419.09 and 260.20

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Solution

The fourth proportional to 281.80, 419.09 and 260.20 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 419.09 = 260.20 : x
  2. Step 2: Convert to fraction form
    281.80/419.09 = 260.20/x
  3. Step 3: Cross multiply
    281.80x = 419.09 × 260.20
  4. Step 4: Simplify right side
    281.80x = 109,047.22
  5. Step 5: Solve for x
    x = 109,047.22/281.80
  6. Step 6: Final answer
    x = 386.97

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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.