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Finding the Fourth Proportional to 238.52, 328.34 and 205.58

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Solution

The fourth proportional to 238.52, 328.34 and 205.58 is: 283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 328.34 = 205.58 : x
  2. Step 2: Convert to fraction form
    238.52/328.34 = 205.58/x
  3. Step 3: Cross multiply
    238.52x = 328.34 × 205.58
  4. Step 4: Simplify right side
    238.52x = 67,500.14
  5. Step 5: Solve for x
    x = 67,500.14/238.52
  6. Step 6: Final answer
    x = 283.00

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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.