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Finding the Fourth Proportional to 334.96, 501.76 and 172.42

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Solution

The fourth proportional to 334.96, 501.76 and 172.42 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.96 : 501.76 = 172.42 : x
  2. Step 2: Convert to fraction form
    334.96/501.76 = 172.42/x
  3. Step 3: Cross multiply
    334.96x = 501.76 × 172.42
  4. Step 4: Simplify right side
    334.96x = 86,513.46
  5. Step 5: Solve for x
    x = 86,513.46/334.96
  6. Step 6: Final answer
    x = 258.28

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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.