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Finding the Fourth Proportional to 334.16, 501.12 and 180.08

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Solution

The fourth proportional to 334.16, 501.12 and 180.08 is: 270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.16 : 501.12 = 180.08 : x
  2. Step 2: Convert to fraction form
    334.16/501.12 = 180.08/x
  3. Step 3: Cross multiply
    334.16x = 501.12 × 180.08
  4. Step 4: Simplify right side
    334.16x = 90,241.69
  5. Step 5: Solve for x
    x = 90,241.69/334.16
  6. Step 6: Final answer
    x = 270.06

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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.