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Finding the Fourth Proportional to 385.12, 576.54 and 202.12

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Solution

The fourth proportional to 385.12, 576.54 and 202.12 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.12 : 576.54 = 202.12 : x
  2. Step 2: Convert to fraction form
    385.12/576.54 = 202.12/x
  3. Step 3: Cross multiply
    385.12x = 576.54 × 202.12
  4. Step 4: Simplify right side
    385.12x = 116,530.26
  5. Step 5: Solve for x
    x = 116,530.26/385.12
  6. Step 6: Final answer
    x = 302.58

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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.