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Finding the Fourth Proportional to 174.83, 261.90 and 144.14

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Solution

The fourth proportional to 174.83, 261.90 and 144.14 is: 215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.83 : 261.90 = 144.14 : x
  2. Step 2: Convert to fraction form
    174.83/261.90 = 144.14/x
  3. Step 3: Cross multiply
    174.83x = 261.90 × 144.14
  4. Step 4: Simplify right side
    174.83x = 37,748.96
  5. Step 5: Solve for x
    x = 37,748.96/174.83
  6. Step 6: Final answer
    x = 215.92

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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.