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Finding the Fourth Proportional to 238.22, 328.59 and 144.92

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Solution

The fourth proportional to 238.22, 328.59 and 144.92 is: 199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 328.59 = 144.92 : x
  2. Step 2: Convert to fraction form
    238.22/328.59 = 144.92/x
  3. Step 3: Cross multiply
    238.22x = 328.59 × 144.92
  4. Step 4: Simplify right side
    238.22x = 47,617.62
  5. Step 5: Solve for x
    x = 47,617.62/238.22
  6. Step 6: Final answer
    x = 199.89

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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.