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Finding the Fourth Proportional to 238.52, 328.86 and 194.76

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Solution

The fourth proportional to 238.52, 328.86 and 194.76 is: 268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 328.86 = 194.76 : x
  2. Step 2: Convert to fraction form
    238.52/328.86 = 194.76/x
  3. Step 3: Cross multiply
    238.52x = 328.86 × 194.76
  4. Step 4: Simplify right side
    238.52x = 64,048.77
  5. Step 5: Solve for x
    x = 64,048.77/238.52
  6. Step 6: Final answer
    x = 268.53

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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.