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Finding the Fourth Proportional to 238.60, 329.06 and 146.60

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Solution

The fourth proportional to 238.60, 329.06 and 146.60 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.60 : 329.06 = 146.60 : x
  2. Step 2: Convert to fraction form
    238.60/329.06 = 146.60/x
  3. Step 3: Cross multiply
    238.60x = 329.06 × 146.60
  4. Step 4: Simplify right side
    238.60x = 48,240.20
  5. Step 5: Solve for x
    x = 48,240.20/238.60
  6. Step 6: Final answer
    x = 202.18

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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.