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Finding the Fourth Proportional to 281.68, 389.10 and 268.01

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Solution

The fourth proportional to 281.68, 389.10 and 268.01 is: 370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.68 : 389.10 = 268.01 : x
  2. Step 2: Convert to fraction form
    281.68/389.10 = 268.01/x
  3. Step 3: Cross multiply
    281.68x = 389.10 × 268.01
  4. Step 4: Simplify right side
    281.68x = 104,283.21
  5. Step 5: Solve for x
    x = 104,283.21/281.68
  6. Step 6: Final answer
    x = 370.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.