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Finding the Fourth Proportional to 341, 511.50 and 97.49

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Solution

The fourth proportional to 341, 511.50 and 97.49 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 511.50 = 97.49 : x
  2. Step 2: Convert to fraction form
    341/511.50 = 97.49/x
  3. Step 3: Cross multiply
    341x = 511.50 × 97.49
  4. Step 4: Simplify right side
    341x = 49,866.14
  5. Step 5: Solve for x
    x = 49,866.14/341
  6. Step 6: Final answer
    x = 146.24

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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.