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Finding the Fourth Proportional to 357.84, 537.22 and 195.64

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Solution

The fourth proportional to 357.84, 537.22 and 195.64 is: 293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 537.22 = 195.64 : x
  2. Step 2: Convert to fraction form
    357.84/537.22 = 195.64/x
  3. Step 3: Cross multiply
    357.84x = 537.22 × 195.64
  4. Step 4: Simplify right side
    357.84x = 105,101.72
  5. Step 5: Solve for x
    x = 105,101.72/357.84
  6. Step 6: Final answer
    x = 293.71

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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.