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Finding the Fourth Proportional to 384.20, 576.35 and 189.30

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Solution

The fourth proportional to 384.20, 576.35 and 189.30 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 576.35 = 189.30 : x
  2. Step 2: Convert to fraction form
    384.20/576.35 = 189.30/x
  3. Step 3: Cross multiply
    384.20x = 576.35 × 189.30
  4. Step 4: Simplify right side
    384.20x = 109,102.11
  5. Step 5: Solve for x
    x = 109,102.11/384.20
  6. Step 6: Final answer
    x = 283.98

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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.