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Finding the Fourth Proportional to 282.94, 421.75 and 251.93

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Solution

The fourth proportional to 282.94, 421.75 and 251.93 is: 375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.94 : 421.75 = 251.93 : x
  2. Step 2: Convert to fraction form
    282.94/421.75 = 251.93/x
  3. Step 3: Cross multiply
    282.94x = 421.75 × 251.93
  4. Step 4: Simplify right side
    282.94x = 106,251.48
  5. Step 5: Solve for x
    x = 106,251.48/282.94
  6. Step 6: Final answer
    x = 375.53

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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.