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Finding the Fourth Proportional to 186.22, 257 and 103.33

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Solution

The fourth proportional to 186.22, 257 and 103.33 is: 142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 257 = 103.33 : x
  2. Step 2: Convert to fraction form
    186.22/257 = 103.33/x
  3. Step 3: Cross multiply
    186.22x = 257 × 103.33
  4. Step 4: Simplify right side
    186.22x = 26,555.81
  5. Step 5: Solve for x
    x = 26,555.81/186.22
  6. Step 6: Final answer
    x = 142.60

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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.