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Finding the Fourth Proportional to 384.16, 576.48 and 178.84

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Solution

The fourth proportional to 384.16, 576.48 and 178.84 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.16 : 576.48 = 178.84 : x
  2. Step 2: Convert to fraction form
    384.16/576.48 = 178.84/x
  3. Step 3: Cross multiply
    384.16x = 576.48 × 178.84
  4. Step 4: Simplify right side
    384.16x = 103,097.68
  5. Step 5: Solve for x
    x = 103,097.68/384.16
  6. Step 6: Final answer
    x = 268.37

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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.