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Finding the Fourth Proportional to 282.05, 422.69 and 144.81

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Solution

The fourth proportional to 282.05, 422.69 and 144.81 is: 217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.05 : 422.69 = 144.81 : x
  2. Step 2: Convert to fraction form
    282.05/422.69 = 144.81/x
  3. Step 3: Cross multiply
    282.05x = 422.69 × 144.81
  4. Step 4: Simplify right side
    282.05x = 61,210.10
  5. Step 5: Solve for x
    x = 61,210.10/282.05
  6. Step 6: Final answer
    x = 217.02

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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.