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Finding the Fourth Proportional to 186.07, 279.14 and 70.51

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Solution

The fourth proportional to 186.07, 279.14 and 70.51 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.07 : 279.14 = 70.51 : x
  2. Step 2: Convert to fraction form
    186.07/279.14 = 70.51/x
  3. Step 3: Cross multiply
    186.07x = 279.14 × 70.51
  4. Step 4: Simplify right side
    186.07x = 19,682.69
  5. Step 5: Solve for x
    x = 19,682.69/186.07
  6. Step 6: Final answer
    x = 105.78

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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.