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Finding the Fourth Proportional to 384.02, 576.09 and 124.10

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Solution

The fourth proportional to 384.02, 576.09 and 124.10 is: 186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.02 : 576.09 = 124.10 : x
  2. Step 2: Convert to fraction form
    384.02/576.09 = 124.10/x
  3. Step 3: Cross multiply
    384.02x = 576.09 × 124.10
  4. Step 4: Simplify right side
    384.02x = 71,489.89
  5. Step 5: Solve for x
    x = 71,489.89/384.02
  6. Step 6: Final answer
    x = 186.16

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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.