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Finding the Fourth Proportional to 281.09, 420.99 and 143.88

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Solution

The fourth proportional to 281.09, 420.99 and 143.88 is: 215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.09 : 420.99 = 143.88 : x
  2. Step 2: Convert to fraction form
    281.09/420.99 = 143.88/x
  3. Step 3: Cross multiply
    281.09x = 420.99 × 143.88
  4. Step 4: Simplify right side
    281.09x = 60,572.04
  5. Step 5: Solve for x
    x = 60,572.04/281.09
  6. Step 6: Final answer
    x = 215.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.