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Finding the Fourth Proportional to 195.47, 293.39 and 159.32

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Solution

The fourth proportional to 195.47, 293.39 and 159.32 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.47 : 293.39 = 159.32 : x
  2. Step 2: Convert to fraction form
    195.47/293.39 = 159.32/x
  3. Step 3: Cross multiply
    195.47x = 293.39 × 159.32
  4. Step 4: Simplify right side
    195.47x = 46,742.89
  5. Step 5: Solve for x
    x = 46,742.89/195.47
  6. Step 6: Final answer
    x = 239.13

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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.