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Finding the Fourth Proportional to 378.94, 568.06 and 135.42

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Solution

The fourth proportional to 378.94, 568.06 and 135.42 is: 203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.94 : 568.06 = 135.42 : x
  2. Step 2: Convert to fraction form
    378.94/568.06 = 135.42/x
  3. Step 3: Cross multiply
    378.94x = 568.06 × 135.42
  4. Step 4: Simplify right side
    378.94x = 76,926.69
  5. Step 5: Solve for x
    x = 76,926.69/378.94
  6. Step 6: Final answer
    x = 203.00

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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.