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Finding the Fourth Proportional to 238.48, 328.80 and 205.22

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Solution

The fourth proportional to 238.48, 328.80 and 205.22 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.48 : 328.80 = 205.22 : x
  2. Step 2: Convert to fraction form
    238.48/328.80 = 205.22/x
  3. Step 3: Cross multiply
    238.48x = 328.80 × 205.22
  4. Step 4: Simplify right side
    238.48x = 67,476.34
  5. Step 5: Solve for x
    x = 67,476.34/238.48
  6. Step 6: Final answer
    x = 282.94

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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.