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Finding the Fourth Proportional to 195.49, 293.14 and 65.45

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Solution

The fourth proportional to 195.49, 293.14 and 65.45 is: 98.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.49 : 293.14 = 65.45 : x
  2. Step 2: Convert to fraction form
    195.49/293.14 = 65.45/x
  3. Step 3: Cross multiply
    195.49x = 293.14 × 65.45
  4. Step 4: Simplify right side
    195.49x = 19,184.22
  5. Step 5: Solve for x
    x = 19,184.22/195.49
  6. Step 6: Final answer
    x = 98.14

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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.