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Finding the Fourth Proportional to 351.42, 526.98 and 168.42

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Solution

The fourth proportional to 351.42, 526.98 and 168.42 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 526.98 = 168.42 : x
  2. Step 2: Convert to fraction form
    351.42/526.98 = 168.42/x
  3. Step 3: Cross multiply
    351.42x = 526.98 × 168.42
  4. Step 4: Simplify right side
    351.42x = 88,753.97
  5. Step 5: Solve for x
    x = 88,753.97/351.42
  6. Step 6: Final answer
    x = 252.56

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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.