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Finding the Fourth Proportional to 360.96, 498.06 and 203.60

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Solution

The fourth proportional to 360.96, 498.06 and 203.60 is: 280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 498.06 = 203.60 : x
  2. Step 2: Convert to fraction form
    360.96/498.06 = 203.60/x
  3. Step 3: Cross multiply
    360.96x = 498.06 × 203.60
  4. Step 4: Simplify right side
    360.96x = 101,402.53
  5. Step 5: Solve for x
    x = 101,402.53/360.96
  6. Step 6: Final answer
    x = 280.92

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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.