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Finding the Fourth Proportional to 342.54, 513.42 and 188.54

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Solution

The fourth proportional to 342.54, 513.42 and 188.54 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 513.42 = 188.54 : x
  2. Step 2: Convert to fraction form
    342.54/513.42 = 188.54/x
  3. Step 3: Cross multiply
    342.54x = 513.42 × 188.54
  4. Step 4: Simplify right side
    342.54x = 96,798.86
  5. Step 5: Solve for x
    x = 96,798.86/342.54
  6. Step 6: Final answer
    x = 282.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.