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Finding the Fourth Proportional to 282.44, 422.84 and 145.16

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Solution

The fourth proportional to 282.44, 422.84 and 145.16 is: 217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.44 : 422.84 = 145.16 : x
  2. Step 2: Convert to fraction form
    282.44/422.84 = 145.16/x
  3. Step 3: Cross multiply
    282.44x = 422.84 × 145.16
  4. Step 4: Simplify right side
    282.44x = 61,379.45
  5. Step 5: Solve for x
    x = 61,379.45/282.44
  6. Step 6: Final answer
    x = 217.32

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