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Finding the Fourth Proportional to 342.81, 513.47 and 180.15

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Solution

The fourth proportional to 342.81, 513.47 and 180.15 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.81 : 513.47 = 180.15 : x
  2. Step 2: Convert to fraction form
    342.81/513.47 = 180.15/x
  3. Step 3: Cross multiply
    342.81x = 513.47 × 180.15
  4. Step 4: Simplify right side
    342.81x = 92,502.07
  5. Step 5: Solve for x
    x = 92,502.07/342.81
  6. Step 6: Final answer
    x = 269.83

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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.