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Finding the Fourth Proportional to 174.02, 261.30 and 120.02

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Solution

The fourth proportional to 174.02, 261.30 and 120.02 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 261.30 = 120.02 : x
  2. Step 2: Convert to fraction form
    174.02/261.30 = 120.02/x
  3. Step 3: Cross multiply
    174.02x = 261.30 × 120.02
  4. Step 4: Simplify right side
    174.02x = 31,361.23
  5. Step 5: Solve for x
    x = 31,361.23/174.02
  6. Step 6: Final answer
    x = 180.22

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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.