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Finding the Fourth Proportional to 293.35, 440.03 and 120.02

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Solution

The fourth proportional to 293.35, 440.03 and 120.02 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.35 : 440.03 = 120.02 : x
  2. Step 2: Convert to fraction form
    293.35/440.03 = 120.02/x
  3. Step 3: Cross multiply
    293.35x = 440.03 × 120.02
  4. Step 4: Simplify right side
    293.35x = 52,812.40
  5. Step 5: Solve for x
    x = 52,812.40/293.35
  6. Step 6: Final answer
    x = 180.03

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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.