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Finding the Fourth Proportional to 384.67, 576.80 and 153.61

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Solution

The fourth proportional to 384.67, 576.80 and 153.61 is: 230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.67 : 576.80 = 153.61 : x
  2. Step 2: Convert to fraction form
    384.67/576.80 = 153.61/x
  3. Step 3: Cross multiply
    384.67x = 576.80 × 153.61
  4. Step 4: Simplify right side
    384.67x = 88,602.25
  5. Step 5: Solve for x
    x = 88,602.25/384.67
  6. Step 6: Final answer
    x = 230.33

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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.