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Finding the Fourth Proportional to 186.46, 279.69 and 90.25

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Solution

The fourth proportional to 186.46, 279.69 and 90.25 is: 135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 279.69 = 90.25 : x
  2. Step 2: Convert to fraction form
    186.46/279.69 = 90.25/x
  3. Step 3: Cross multiply
    186.46x = 279.69 × 90.25
  4. Step 4: Simplify right side
    186.46x = 25,242.02
  5. Step 5: Solve for x
    x = 25,242.02/186.46
  6. Step 6: Final answer
    x = 135.38

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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.