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Finding the Fourth Proportional to 341.31, 512.09 and 177.14

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Solution

The fourth proportional to 341.31, 512.09 and 177.14 is: 265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.31 : 512.09 = 177.14 : x
  2. Step 2: Convert to fraction form
    341.31/512.09 = 177.14/x
  3. Step 3: Cross multiply
    341.31x = 512.09 × 177.14
  4. Step 4: Simplify right side
    341.31x = 90,709.50
  5. Step 5: Solve for x
    x = 90,709.50/341.31
  6. Step 6: Final answer
    x = 265.77

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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.