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Finding the Fourth Proportional to 282.94, 422.06 and 250.14

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Solution

The fourth proportional to 282.94, 422.06 and 250.14 is: 373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.94 : 422.06 = 250.14 : x
  2. Step 2: Convert to fraction form
    282.94/422.06 = 250.14/x
  3. Step 3: Cross multiply
    282.94x = 422.06 × 250.14
  4. Step 4: Simplify right side
    282.94x = 105,573.45
  5. Step 5: Solve for x
    x = 105,573.45/282.94
  6. Step 6: Final answer
    x = 373.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.