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Finding the Fourth Proportional to 378.65, 568.08 and 205.25

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Solution

The fourth proportional to 378.65, 568.08 and 205.25 is: 307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 568.08 = 205.25 : x
  2. Step 2: Convert to fraction form
    378.65/568.08 = 205.25/x
  3. Step 3: Cross multiply
    378.65x = 568.08 × 205.25
  4. Step 4: Simplify right side
    378.65x = 116,595.58
  5. Step 5: Solve for x
    x = 116,595.58/378.65
  6. Step 6: Final answer
    x = 307.92

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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.