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Finding the Fourth Proportional to 186.06, 256.74 and 106.30

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Solution

The fourth proportional to 186.06, 256.74 and 106.30 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 256.74 = 106.30 : x
  2. Step 2: Convert to fraction form
    186.06/256.74 = 106.30/x
  3. Step 3: Cross multiply
    186.06x = 256.74 × 106.30
  4. Step 4: Simplify right side
    186.06x = 27,291.46
  5. Step 5: Solve for x
    x = 27,291.46/186.06
  6. Step 6: Final answer
    x = 146.68

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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.