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Finding the Fourth Proportional to 342.13, 513.29 and 111.06

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Solution

The fourth proportional to 342.13, 513.29 and 111.06 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.13 : 513.29 = 111.06 : x
  2. Step 2: Convert to fraction form
    342.13/513.29 = 111.06/x
  3. Step 3: Cross multiply
    342.13x = 513.29 × 111.06
  4. Step 4: Simplify right side
    342.13x = 57,005.99
  5. Step 5: Solve for x
    x = 57,005.99/342.13
  6. Step 6: Final answer
    x = 166.62

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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.