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Finding the Fourth Proportional to 238.43, 359.03 and 208.35

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Solution

The fourth proportional to 238.43, 359.03 and 208.35 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.43 : 359.03 = 208.35 : x
  2. Step 2: Convert to fraction form
    238.43/359.03 = 208.35/x
  3. Step 3: Cross multiply
    238.43x = 359.03 × 208.35
  4. Step 4: Simplify right side
    238.43x = 74,802.86
  5. Step 5: Solve for x
    x = 74,802.86/238.43
  6. Step 6: Final answer
    x = 313.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.