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Finding the Fourth Proportional to 159.59, 238.83 and 130.37

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Solution

The fourth proportional to 159.59, 238.83 and 130.37 is: 195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.59 : 238.83 = 130.37 : x
  2. Step 2: Convert to fraction form
    159.59/238.83 = 130.37/x
  3. Step 3: Cross multiply
    159.59x = 238.83 × 130.37
  4. Step 4: Simplify right side
    159.59x = 31,135.07
  5. Step 5: Solve for x
    x = 31,135.07/159.59
  6. Step 6: Final answer
    x = 195.10

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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.