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Finding the Fourth Proportional to 342.52, 514.14 and 169.32

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Solution

The fourth proportional to 342.52, 514.14 and 169.32 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.52 : 514.14 = 169.32 : x
  2. Step 2: Convert to fraction form
    342.52/514.14 = 169.32/x
  3. Step 3: Cross multiply
    342.52x = 514.14 × 169.32
  4. Step 4: Simplify right side
    342.52x = 87,054.18
  5. Step 5: Solve for x
    x = 87,054.18/342.52
  6. Step 6: Final answer
    x = 254.16

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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.