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Finding the Fourth Proportional to 195.40, 293.13 and 65.41

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Solution

The fourth proportional to 195.40, 293.13 and 65.41 is: 98.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 293.13 = 65.41 : x
  2. Step 2: Convert to fraction form
    195.40/293.13 = 65.41/x
  3. Step 3: Cross multiply
    195.40x = 293.13 × 65.41
  4. Step 4: Simplify right side
    195.40x = 19,172.17
  5. Step 5: Solve for x
    x = 19,172.17/195.40
  6. Step 6: Final answer
    x = 98.12

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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.