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Finding the Fourth Proportional to 281.02, 423.67 and 266.14

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Solution

The fourth proportional to 281.02, 423.67 and 266.14 is: 401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.02 : 423.67 = 266.14 : x
  2. Step 2: Convert to fraction form
    281.02/423.67 = 266.14/x
  3. Step 3: Cross multiply
    281.02x = 423.67 × 266.14
  4. Step 4: Simplify right side
    281.02x = 112,755.53
  5. Step 5: Solve for x
    x = 112,755.53/281.02
  6. Step 6: Final answer
    x = 401.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.