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Finding the Fourth Proportional to 342.51, 513.79 and 108.30

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Solution

The fourth proportional to 342.51, 513.79 and 108.30 is: 162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 513.79 = 108.30 : x
  2. Step 2: Convert to fraction form
    342.51/513.79 = 108.30/x
  3. Step 3: Cross multiply
    342.51x = 513.79 × 108.30
  4. Step 4: Simplify right side
    342.51x = 55,643.46
  5. Step 5: Solve for x
    x = 55,643.46/342.51
  6. Step 6: Final answer
    x = 162.46

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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.