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Finding the Fourth Proportional to 152.44, 209.89 and 130.27

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Solution

The fourth proportional to 152.44, 209.89 and 130.27 is: 179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 209.89 = 130.27 : x
  2. Step 2: Convert to fraction form
    152.44/209.89 = 130.27/x
  3. Step 3: Cross multiply
    152.44x = 209.89 × 130.27
  4. Step 4: Simplify right side
    152.44x = 27,342.37
  5. Step 5: Solve for x
    x = 27,342.37/152.44
  6. Step 6: Final answer
    x = 179.36

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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.