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Finding the Fourth Proportional to 144.72, 200.21 and 117.45

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Solution

The fourth proportional to 144.72, 200.21 and 117.45 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 200.21 = 117.45 : x
  2. Step 2: Convert to fraction form
    144.72/200.21 = 117.45/x
  3. Step 3: Cross multiply
    144.72x = 200.21 × 117.45
  4. Step 4: Simplify right side
    144.72x = 23,514.08
  5. Step 5: Solve for x
    x = 23,514.08/144.72
  6. Step 6: Final answer
    x = 162.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.