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Finding the Fourth Proportional to 174.53, 261.45 and 142.06

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Solution

The fourth proportional to 174.53, 261.45 and 142.06 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.53 : 261.45 = 142.06 : x
  2. Step 2: Convert to fraction form
    174.53/261.45 = 142.06/x
  3. Step 3: Cross multiply
    174.53x = 261.45 × 142.06
  4. Step 4: Simplify right side
    174.53x = 37,140.88
  5. Step 5: Solve for x
    x = 37,140.88/174.53
  6. Step 6: Final answer
    x = 212.81

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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.