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Finding the Fourth Proportional to 378.42, 567.90 and 205.08

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Solution

The fourth proportional to 378.42, 567.90 and 205.08 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 567.90 = 205.08 : x
  2. Step 2: Convert to fraction form
    378.42/567.90 = 205.08/x
  3. Step 3: Cross multiply
    378.42x = 567.90 × 205.08
  4. Step 4: Simplify right side
    378.42x = 116,464.93
  5. Step 5: Solve for x
    x = 116,464.93/378.42
  6. Step 6: Final answer
    x = 307.77

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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.