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Finding the Fourth Proportional to 734.96, 1,102.80 and 248.16

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Solution

The fourth proportional to 734.96, 1,102.80 and 248.16 is: 372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.96 : 1,102.80 = 248.16 : x
  2. Step 2: Convert to fraction form
    734.96/1,102.80 = 248.16/x
  3. Step 3: Cross multiply
    734.96x = 1,102.80 × 248.16
  4. Step 4: Simplify right side
    734.96x = 273,670.85
  5. Step 5: Solve for x
    x = 273,670.85/734.96
  6. Step 6: Final answer
    x = 372.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.