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Finding the Fourth Proportional to 334.50, 501.81 and 172.14

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Solution

The fourth proportional to 334.50, 501.81 and 172.14 is: 258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.50 : 501.81 = 172.14 : x
  2. Step 2: Convert to fraction form
    334.50/501.81 = 172.14/x
  3. Step 3: Cross multiply
    334.50x = 501.81 × 172.14
  4. Step 4: Simplify right side
    334.50x = 86,381.57
  5. Step 5: Solve for x
    x = 86,381.57/334.50
  6. Step 6: Final answer
    x = 258.24

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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.