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Finding the Fourth Proportional to 342.53, 513.82 and 123.14

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Solution

The fourth proportional to 342.53, 513.82 and 123.14 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.53 : 513.82 = 123.14 : x
  2. Step 2: Convert to fraction form
    342.53/513.82 = 123.14/x
  3. Step 3: Cross multiply
    342.53x = 513.82 × 123.14
  4. Step 4: Simplify right side
    342.53x = 63,269.23
  5. Step 5: Solve for x
    x = 63,269.23/342.53
  6. Step 6: Final answer
    x = 184.71

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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.