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Finding the Fourth Proportional to 188.95, 260.75 and 106.06

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Solution

The fourth proportional to 188.95, 260.75 and 106.06 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.95 : 260.75 = 106.06 : x
  2. Step 2: Convert to fraction form
    188.95/260.75 = 106.06/x
  3. Step 3: Cross multiply
    188.95x = 260.75 × 106.06
  4. Step 4: Simplify right side
    188.95x = 27,655.15
  5. Step 5: Solve for x
    x = 27,655.15/188.95
  6. Step 6: Final answer
    x = 146.36

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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.