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Finding the Fourth Proportional to 281.07, 419.81 and 265.28

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Solution

The fourth proportional to 281.07, 419.81 and 265.28 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.07 : 419.81 = 265.28 : x
  2. Step 2: Convert to fraction form
    281.07/419.81 = 265.28/x
  3. Step 3: Cross multiply
    281.07x = 419.81 × 265.28
  4. Step 4: Simplify right side
    281.07x = 111,363.77
  5. Step 5: Solve for x
    x = 111,363.77/281.07
  6. Step 6: Final answer
    x = 396.21

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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.