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Finding the Fourth Proportional to 341.37, 512.00 and 97.86

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Solution

The fourth proportional to 341.37, 512.00 and 97.86 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.37 : 512.00 = 97.86 : x
  2. Step 2: Convert to fraction form
    341.37/512.00 = 97.86/x
  3. Step 3: Cross multiply
    341.37x = 512.00 × 97.86
  4. Step 4: Simplify right side
    341.37x = 50,103.83
  5. Step 5: Solve for x
    x = 50,103.83/341.37
  6. Step 6: Final answer
    x = 146.77

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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.