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Finding the Fourth Proportional to 341.34, 512.00 and 135.85

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Solution

The fourth proportional to 341.34, 512.00 and 135.85 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.34 : 512.00 = 135.85 : x
  2. Step 2: Convert to fraction form
    341.34/512.00 = 135.85/x
  3. Step 3: Cross multiply
    341.34x = 512.00 × 135.85
  4. Step 4: Simplify right side
    341.34x = 69,554.26
  5. Step 5: Solve for x
    x = 69,554.26/341.34
  6. Step 6: Final answer
    x = 203.77

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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.