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Finding the Fourth Proportional to 378.94, 568.08 and 147.67

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Solution

The fourth proportional to 378.94, 568.08 and 147.67 is: 221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.94 : 568.08 = 147.67 : x
  2. Step 2: Convert to fraction form
    378.94/568.08 = 147.67/x
  3. Step 3: Cross multiply
    378.94x = 568.08 × 147.67
  4. Step 4: Simplify right side
    378.94x = 83,888.37
  5. Step 5: Solve for x
    x = 83,888.37/378.94
  6. Step 6: Final answer
    x = 221.38

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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.