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Finding the Fourth Proportional to 238.51, 328.92 and 201.74

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Solution

The fourth proportional to 238.51, 328.92 and 201.74 is: 278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.51 : 328.92 = 201.74 : x
  2. Step 2: Convert to fraction form
    238.51/328.92 = 201.74/x
  3. Step 3: Cross multiply
    238.51x = 328.92 × 201.74
  4. Step 4: Simplify right side
    238.51x = 66,356.32
  5. Step 5: Solve for x
    x = 66,356.32/238.51
  6. Step 6: Final answer
    x = 278.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.