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Finding the Fourth Proportional to 238.88, 358.24 and 184.96

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Solution

The fourth proportional to 238.88, 358.24 and 184.96 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 358.24 = 184.96 : x
  2. Step 2: Convert to fraction form
    238.88/358.24 = 184.96/x
  3. Step 3: Cross multiply
    238.88x = 358.24 × 184.96
  4. Step 4: Simplify right side
    238.88x = 66,260.07
  5. Step 5: Solve for x
    x = 66,260.07/238.88
  6. Step 6: Final answer
    x = 277.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.