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Finding the Fourth Proportional to 186.74, 279.54 and 118.02

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Solution

The fourth proportional to 186.74, 279.54 and 118.02 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.74 : 279.54 = 118.02 : x
  2. Step 2: Convert to fraction form
    186.74/279.54 = 118.02/x
  3. Step 3: Cross multiply
    186.74x = 279.54 × 118.02
  4. Step 4: Simplify right side
    186.74x = 32,991.31
  5. Step 5: Solve for x
    x = 32,991.31/186.74
  6. Step 6: Final answer
    x = 176.67

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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.