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Finding the Fourth Proportional to 377.68, 567.04 and 195.20

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Solution

The fourth proportional to 377.68, 567.04 and 195.20 is: 293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.68 : 567.04 = 195.20 : x
  2. Step 2: Convert to fraction form
    377.68/567.04 = 195.20/x
  3. Step 3: Cross multiply
    377.68x = 567.04 × 195.20
  4. Step 4: Simplify right side
    377.68x = 110,686.21
  5. Step 5: Solve for x
    x = 110,686.21/377.68
  6. Step 6: Final answer
    x = 293.07

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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.