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Finding the Fourth Proportional to 333.93, 501.20 and 180.01

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Solution

The fourth proportional to 333.93, 501.20 and 180.01 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.93 : 501.20 = 180.01 : x
  2. Step 2: Convert to fraction form
    333.93/501.20 = 180.01/x
  3. Step 3: Cross multiply
    333.93x = 501.20 × 180.01
  4. Step 4: Simplify right side
    333.93x = 90,218.59
  5. Step 5: Solve for x
    x = 90,218.59/333.93
  6. Step 6: Final answer
    x = 270.17

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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.