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Finding the Fourth Proportional to 159.52, 238.97 and 127.08

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Solution

The fourth proportional to 159.52, 238.97 and 127.08 is: 190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 238.97 = 127.08 : x
  2. Step 2: Convert to fraction form
    159.52/238.97 = 127.08/x
  3. Step 3: Cross multiply
    159.52x = 238.97 × 127.08
  4. Step 4: Simplify right side
    159.52x = 30,368.31
  5. Step 5: Solve for x
    x = 30,368.31/159.52
  6. Step 6: Final answer
    x = 190.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.