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Finding the Fourth Proportional to 282.37, 389.55 and 184.14

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Solution

The fourth proportional to 282.37, 389.55 and 184.14 is: 254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.37 : 389.55 = 184.14 : x
  2. Step 2: Convert to fraction form
    282.37/389.55 = 184.14/x
  3. Step 3: Cross multiply
    282.37x = 389.55 × 184.14
  4. Step 4: Simplify right side
    282.37x = 71,731.74
  5. Step 5: Solve for x
    x = 71,731.74/282.37
  6. Step 6: Final answer
    x = 254.03

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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.