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Finding the Fourth Proportional to 384.68, 576.56 and 176.20

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Solution

The fourth proportional to 384.68, 576.56 and 176.20 is: 264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 576.56 = 176.20 : x
  2. Step 2: Convert to fraction form
    384.68/576.56 = 176.20/x
  3. Step 3: Cross multiply
    384.68x = 576.56 × 176.20
  4. Step 4: Simplify right side
    384.68x = 101,589.87
  5. Step 5: Solve for x
    x = 101,589.87/384.68
  6. Step 6: Final answer
    x = 264.09

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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.