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Finding the Fourth Proportional to 378.35, 567.51 and 104.45

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Solution

The fourth proportional to 378.35, 567.51 and 104.45 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.35 : 567.51 = 104.45 : x
  2. Step 2: Convert to fraction form
    378.35/567.51 = 104.45/x
  3. Step 3: Cross multiply
    378.35x = 567.51 × 104.45
  4. Step 4: Simplify right side
    378.35x = 59,277.84
  5. Step 5: Solve for x
    x = 59,277.84/378.35
  6. Step 6: Final answer
    x = 156.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.