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Finding the Fourth Proportional to 188.60, 259.97 and 133.25

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Solution

The fourth proportional to 188.60, 259.97 and 133.25 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.60 : 259.97 = 133.25 : x
  2. Step 2: Convert to fraction form
    188.60/259.97 = 133.25/x
  3. Step 3: Cross multiply
    188.60x = 259.97 × 133.25
  4. Step 4: Simplify right side
    188.60x = 34,639.04
  5. Step 5: Solve for x
    x = 34,639.04/188.60
  6. Step 6: Final answer
    x = 183.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.