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Finding the Fourth Proportional to 195.09, 292.40 and 160.46

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Solution

The fourth proportional to 195.09, 292.40 and 160.46 is: 240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.09 : 292.40 = 160.46 : x
  2. Step 2: Convert to fraction form
    195.09/292.40 = 160.46/x
  3. Step 3: Cross multiply
    195.09x = 292.40 × 160.46
  4. Step 4: Simplify right side
    195.09x = 46,918.50
  5. Step 5: Solve for x
    x = 46,918.50/195.09
  6. Step 6: Final answer
    x = 240.50

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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.