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Finding the Fourth Proportional to 341.78, 512.23 and 166.02

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Solution

The fourth proportional to 341.78, 512.23 and 166.02 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.78 : 512.23 = 166.02 : x
  2. Step 2: Convert to fraction form
    341.78/512.23 = 166.02/x
  3. Step 3: Cross multiply
    341.78x = 512.23 × 166.02
  4. Step 4: Simplify right side
    341.78x = 85,040.42
  5. Step 5: Solve for x
    x = 85,040.42/341.78
  6. Step 6: Final answer
    x = 248.82

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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.