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Finding the Fourth Proportional to 238.64, 358.23 and 94.46

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Solution

The fourth proportional to 238.64, 358.23 and 94.46 is: 141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 358.23 = 94.46 : x
  2. Step 2: Convert to fraction form
    238.64/358.23 = 94.46/x
  3. Step 3: Cross multiply
    238.64x = 358.23 × 94.46
  4. Step 4: Simplify right side
    238.64x = 33,838.41
  5. Step 5: Solve for x
    x = 33,838.41/238.64
  6. Step 6: Final answer
    x = 141.80

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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.