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Finding the Fourth Proportional to 281.40, 422.16 and 137.10

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Solution

The fourth proportional to 281.40, 422.16 and 137.10 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 422.16 = 137.10 : x
  2. Step 2: Convert to fraction form
    281.40/422.16 = 137.10/x
  3. Step 3: Cross multiply
    281.40x = 422.16 × 137.10
  4. Step 4: Simplify right side
    281.40x = 57,878.14
  5. Step 5: Solve for x
    x = 57,878.14/281.40
  6. Step 6: Final answer
    x = 205.68

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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.