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Finding the Fourth Proportional to 342.46, 512.88 and 168.58

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Solution

The fourth proportional to 342.46, 512.88 and 168.58 is: 252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.46 : 512.88 = 168.58 : x
  2. Step 2: Convert to fraction form
    342.46/512.88 = 168.58/x
  3. Step 3: Cross multiply
    342.46x = 512.88 × 168.58
  4. Step 4: Simplify right side
    342.46x = 86,461.31
  5. Step 5: Solve for x
    x = 86,461.31/342.46
  6. Step 6: Final answer
    x = 252.47

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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.