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Finding the Fourth Proportional to 384.64, 576.96 and 128.08

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Solution

The fourth proportional to 384.64, 576.96 and 128.08 is: 192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 576.96 = 128.08 : x
  2. Step 2: Convert to fraction form
    384.64/576.96 = 128.08/x
  3. Step 3: Cross multiply
    384.64x = 576.96 × 128.08
  4. Step 4: Simplify right side
    384.64x = 73,897.04
  5. Step 5: Solve for x
    x = 73,897.04/384.64
  6. Step 6: Final answer
    x = 192.12

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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.