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Finding the Fourth Proportional to 186.30, 257.09 and 103.40

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Solution

The fourth proportional to 186.30, 257.09 and 103.40 is: 142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.30 : 257.09 = 103.40 : x
  2. Step 2: Convert to fraction form
    186.30/257.09 = 103.40/x
  3. Step 3: Cross multiply
    186.30x = 257.09 × 103.40
  4. Step 4: Simplify right side
    186.30x = 26,583.11
  5. Step 5: Solve for x
    x = 26,583.11/186.30
  6. Step 6: Final answer
    x = 142.69

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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.