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Finding the Fourth Proportional to 186.53, 259.22 and 184.25

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Solution

The fourth proportional to 186.53, 259.22 and 184.25 is: 256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 259.22 = 184.25 : x
  2. Step 2: Convert to fraction form
    186.53/259.22 = 184.25/x
  3. Step 3: Cross multiply
    186.53x = 259.22 × 184.25
  4. Step 4: Simplify right side
    186.53x = 47,761.29
  5. Step 5: Solve for x
    x = 47,761.29/186.53
  6. Step 6: Final answer
    x = 256.05

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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.