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Finding the Fourth Proportional to 357.12, 492.28 and 238.88

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Solution

The fourth proportional to 357.12, 492.28 and 238.88 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 492.28 = 238.88 : x
  2. Step 2: Convert to fraction form
    357.12/492.28 = 238.88/x
  3. Step 3: Cross multiply
    357.12x = 492.28 × 238.88
  4. Step 4: Simplify right side
    357.12x = 117,595.85
  5. Step 5: Solve for x
    x = 117,595.85/357.12
  6. Step 6: Final answer
    x = 329.29

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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.