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Finding the Fourth Proportional to 282.49, 389.86 and 184.53

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Solution

The fourth proportional to 282.49, 389.86 and 184.53 is: 254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.49 : 389.86 = 184.53 : x
  2. Step 2: Convert to fraction form
    282.49/389.86 = 184.53/x
  3. Step 3: Cross multiply
    282.49x = 389.86 × 184.53
  4. Step 4: Simplify right side
    282.49x = 71,940.87
  5. Step 5: Solve for x
    x = 71,940.87/282.49
  6. Step 6: Final answer
    x = 254.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.