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Finding the Fourth Proportional to 152.28, 209.99 and 119.07

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Solution

The fourth proportional to 152.28, 209.99 and 119.07 is: 164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.28 : 209.99 = 119.07 : x
  2. Step 2: Convert to fraction form
    152.28/209.99 = 119.07/x
  3. Step 3: Cross multiply
    152.28x = 209.99 × 119.07
  4. Step 4: Simplify right side
    152.28x = 25,003.81
  5. Step 5: Solve for x
    x = 25,003.81/152.28
  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.