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Finding the Fourth Proportional to 378.36, 567.46 and 193.08

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Solution

The fourth proportional to 378.36, 567.46 and 193.08 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.36 : 567.46 = 193.08 : x
  2. Step 2: Convert to fraction form
    378.36/567.46 = 193.08/x
  3. Step 3: Cross multiply
    378.36x = 567.46 × 193.08
  4. Step 4: Simplify right side
    378.36x = 109,565.18
  5. Step 5: Solve for x
    x = 109,565.18/378.36
  6. Step 6: Final answer
    x = 289.58

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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.