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Finding the Fourth Proportional to 195.74, 293.51 and 98.14

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Solution

The fourth proportional to 195.74, 293.51 and 98.14 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.74 : 293.51 = 98.14 : x
  2. Step 2: Convert to fraction form
    195.74/293.51 = 98.14/x
  3. Step 3: Cross multiply
    195.74x = 293.51 × 98.14
  4. Step 4: Simplify right side
    195.74x = 28,803.11
  5. Step 5: Solve for x
    x = 28,803.11/195.74
  6. Step 6: Final answer
    x = 147.15

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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.