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Finding the Fourth Proportional to 188.94, 260.64 and 119.08

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Solution

The fourth proportional to 188.94, 260.64 and 119.08 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.94 : 260.64 = 119.08 : x
  2. Step 2: Convert to fraction form
    188.94/260.64 = 119.08/x
  3. Step 3: Cross multiply
    188.94x = 260.64 × 119.08
  4. Step 4: Simplify right side
    188.94x = 31,037.01
  5. Step 5: Solve for x
    x = 31,037.01/188.94
  6. Step 6: Final answer
    x = 164.27

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Why These Related Problems?

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