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Finding the Fourth Proportional to 186.37, 279.61 and 70.85

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Solution

The fourth proportional to 186.37, 279.61 and 70.85 is: 106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.37 : 279.61 = 70.85 : x
  2. Step 2: Convert to fraction form
    186.37/279.61 = 70.85/x
  3. Step 3: Cross multiply
    186.37x = 279.61 × 70.85
  4. Step 4: Simplify right side
    186.37x = 19,810.89
  5. Step 5: Solve for x
    x = 19,810.89/186.37
  6. Step 6: Final answer
    x = 106.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.