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Finding the Fourth Proportional to 341, 511.36 and 167.53

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Solution

The fourth proportional to 341, 511.36 and 167.53 is: 251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 511.36 = 167.53 : x
  2. Step 2: Convert to fraction form
    341/511.36 = 167.53/x
  3. Step 3: Cross multiply
    341x = 511.36 × 167.53
  4. Step 4: Simplify right side
    341x = 85,668.14
  5. Step 5: Solve for x
    x = 85,668.14/341
  6. Step 6: Final answer
    x = 251.23

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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.