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Finding the Fourth Proportional to 186.63, 259.05 and 184.05

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Solution

The fourth proportional to 186.63, 259.05 and 184.05 is: 255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.63 : 259.05 = 184.05 : x
  2. Step 2: Convert to fraction form
    186.63/259.05 = 184.05/x
  3. Step 3: Cross multiply
    186.63x = 259.05 × 184.05
  4. Step 4: Simplify right side
    186.63x = 47,678.15
  5. Step 5: Solve for x
    x = 47,678.15/186.63
  6. Step 6: Final answer
    x = 255.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.