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Finding the Fourth Proportional to 238.06, 328.35 and 144.82

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Solution

The fourth proportional to 238.06, 328.35 and 144.82 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 328.35 = 144.82 : x
  2. Step 2: Convert to fraction form
    238.06/328.35 = 144.82/x
  3. Step 3: Cross multiply
    238.06x = 328.35 × 144.82
  4. Step 4: Simplify right side
    238.06x = 47,551.65
  5. Step 5: Solve for x
    x = 47,551.65/238.06
  6. Step 6: Final answer
    x = 199.75

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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.