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Finding the Fourth Proportional to 186.47, 257.27 and 107.78

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Solution

The fourth proportional to 186.47, 257.27 and 107.78 is: 148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.47 : 257.27 = 107.78 : x
  2. Step 2: Convert to fraction form
    186.47/257.27 = 107.78/x
  3. Step 3: Cross multiply
    186.47x = 257.27 × 107.78
  4. Step 4: Simplify right side
    186.47x = 27,727.00
  5. Step 5: Solve for x
    x = 27,727.00/186.47
  6. Step 6: Final answer
    x = 148.70

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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.