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Finding the Fourth Proportional to 238.06, 328.55 and 144.85

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Solution

The fourth proportional to 238.06, 328.55 and 144.85 is: 199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 328.55 = 144.85 : x
  2. Step 2: Convert to fraction form
    238.06/328.55 = 144.85/x
  3. Step 3: Cross multiply
    238.06x = 328.55 × 144.85
  4. Step 4: Simplify right side
    238.06x = 47,590.47
  5. Step 5: Solve for x
    x = 47,590.47/238.06
  6. Step 6: Final answer
    x = 199.91

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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.