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Finding the Fourth Proportional to 342.90, 513.98 and 169.20

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Solution

The fourth proportional to 342.90, 513.98 and 169.20 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.90 : 513.98 = 169.20 : x
  2. Step 2: Convert to fraction form
    342.90/513.98 = 169.20/x
  3. Step 3: Cross multiply
    342.90x = 513.98 × 169.20
  4. Step 4: Simplify right side
    342.90x = 86,965.42
  5. Step 5: Solve for x
    x = 86,965.42/342.90
  6. Step 6: Final answer
    x = 253.62

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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.