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Finding the Fourth Proportional to 186.10, 256.84 and 103.22

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Solution

The fourth proportional to 186.10, 256.84 and 103.22 is: 142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 256.84 = 103.22 : x
  2. Step 2: Convert to fraction form
    186.10/256.84 = 103.22/x
  3. Step 3: Cross multiply
    186.10x = 256.84 × 103.22
  4. Step 4: Simplify right side
    186.10x = 26,511.02
  5. Step 5: Solve for x
    x = 26,511.02/186.10
  6. Step 6: Final answer
    x = 142.46

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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.