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Finding the Fourth Proportional to 282.35, 389.75 and 184.07

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Solution

The fourth proportional to 282.35, 389.75 and 184.07 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.35 : 389.75 = 184.07 : x
  2. Step 2: Convert to fraction form
    282.35/389.75 = 184.07/x
  3. Step 3: Cross multiply
    282.35x = 389.75 × 184.07
  4. Step 4: Simplify right side
    282.35x = 71,741.28
  5. Step 5: Solve for x
    x = 71,741.28/282.35
  6. Step 6: Final answer
    x = 254.09

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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.