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Finding the Fourth Proportional to 188.99, 260.72 and 119.03

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Solution

The fourth proportional to 188.99, 260.72 and 119.03 is: 164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.99 : 260.72 = 119.03 : x
  2. Step 2: Convert to fraction form
    188.99/260.72 = 119.03/x
  3. Step 3: Cross multiply
    188.99x = 260.72 × 119.03
  4. Step 4: Simplify right side
    188.99x = 31,031.60
  5. Step 5: Solve for x
    x = 31,031.60/188.99
  6. Step 6: Final answer
    x = 164.20

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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.