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Finding the Fourth Proportional to 342.05, 514.88 and 245.22

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Solution

The fourth proportional to 342.05, 514.88 and 245.22 is: 369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.05 : 514.88 = 245.22 : x
  2. Step 2: Convert to fraction form
    342.05/514.88 = 245.22/x
  3. Step 3: Cross multiply
    342.05x = 514.88 × 245.22
  4. Step 4: Simplify right side
    342.05x = 126,257.65
  5. Step 5: Solve for x
    x = 126,257.65/342.05
  6. Step 6: Final answer
    x = 369.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.