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Finding the Fourth Proportional to 342.66, 513.57 and 180.06

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Solution

The fourth proportional to 342.66, 513.57 and 180.06 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.66 : 513.57 = 180.06 : x
  2. Step 2: Convert to fraction form
    342.66/513.57 = 180.06/x
  3. Step 3: Cross multiply
    342.66x = 513.57 × 180.06
  4. Step 4: Simplify right side
    342.66x = 92,473.41
  5. Step 5: Solve for x
    x = 92,473.41/342.66
  6. Step 6: Final answer
    x = 269.87

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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.