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Finding the Fourth Proportional to 377.98, 567.34 and 195.52

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Solution

The fourth proportional to 377.98, 567.34 and 195.52 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.98 : 567.34 = 195.52 : x
  2. Step 2: Convert to fraction form
    377.98/567.34 = 195.52/x
  3. Step 3: Cross multiply
    377.98x = 567.34 × 195.52
  4. Step 4: Simplify right side
    377.98x = 110,926.32
  5. Step 5: Solve for x
    x = 110,926.32/377.98
  6. Step 6: Final answer
    x = 293.47

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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.