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Finding the Fourth Proportional to 378.64, 567.90 and 135.13

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Solution

The fourth proportional to 378.64, 567.90 and 135.13 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 567.90 = 135.13 : x
  2. Step 2: Convert to fraction form
    378.64/567.90 = 135.13/x
  3. Step 3: Cross multiply
    378.64x = 567.90 × 135.13
  4. Step 4: Simplify right side
    378.64x = 76,740.33
  5. Step 5: Solve for x
    x = 76,740.33/378.64
  6. Step 6: Final answer
    x = 202.67

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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.