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Finding the Fourth Proportional to 334.12, 501.01 and 180.01

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Solution

The fourth proportional to 334.12, 501.01 and 180.01 is: 269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.12 : 501.01 = 180.01 : x
  2. Step 2: Convert to fraction form
    334.12/501.01 = 180.01/x
  3. Step 3: Cross multiply
    334.12x = 501.01 × 180.01
  4. Step 4: Simplify right side
    334.12x = 90,186.81
  5. Step 5: Solve for x
    x = 90,186.81/334.12
  6. Step 6: Final answer
    x = 269.92

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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.