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Finding the Fourth Proportional to 334.98, 502.16 and 172.31

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Solution

The fourth proportional to 334.98, 502.16 and 172.31 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.98 : 502.16 = 172.31 : x
  2. Step 2: Convert to fraction form
    334.98/502.16 = 172.31/x
  3. Step 3: Cross multiply
    334.98x = 502.16 × 172.31
  4. Step 4: Simplify right side
    334.98x = 86,523.82
  5. Step 5: Solve for x
    x = 86,523.82/334.98
  6. Step 6: Final answer
    x = 258.30

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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.