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Finding the Fourth Proportional to 342.65, 514.08 and 111.54

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Solution

The fourth proportional to 342.65, 514.08 and 111.54 is: 167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 514.08 = 111.54 : x
  2. Step 2: Convert to fraction form
    342.65/514.08 = 111.54/x
  3. Step 3: Cross multiply
    342.65x = 514.08 × 111.54
  4. Step 4: Simplify right side
    342.65x = 57,342.83
  5. Step 5: Solve for x
    x = 57,342.83/342.65
  6. Step 6: Final answer
    x = 167.35

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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.