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Finding the Fourth Proportional to 176.90, 264.83 and 144.43

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Solution

The fourth proportional to 176.90, 264.83 and 144.43 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.90 : 264.83 = 144.43 : x
  2. Step 2: Convert to fraction form
    176.90/264.83 = 144.43/x
  3. Step 3: Cross multiply
    176.90x = 264.83 × 144.43
  4. Step 4: Simplify right side
    176.90x = 38,250.52
  5. Step 5: Solve for x
    x = 38,250.52/176.90
  6. Step 6: Final answer
    x = 216.23

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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.