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Finding the Fourth Proportional to 384.28, 575.95 and 178.57

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Solution

The fourth proportional to 384.28, 575.95 and 178.57 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.28 : 575.95 = 178.57 : x
  2. Step 2: Convert to fraction form
    384.28/575.95 = 178.57/x
  3. Step 3: Cross multiply
    384.28x = 575.95 × 178.57
  4. Step 4: Simplify right side
    384.28x = 102,847.39
  5. Step 5: Solve for x
    x = 102,847.39/384.28
  6. Step 6: Final answer
    x = 267.64

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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.