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Finding the Fourth Proportional to 241.50, 332.46 and 216.93

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Solution

The fourth proportional to 241.50, 332.46 and 216.93 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.50 : 332.46 = 216.93 : x
  2. Step 2: Convert to fraction form
    241.50/332.46 = 216.93/x
  3. Step 3: Cross multiply
    241.50x = 332.46 × 216.93
  4. Step 4: Simplify right side
    241.50x = 72,120.55
  5. Step 5: Solve for x
    x = 72,120.55/241.50
  6. Step 6: Final answer
    x = 298.64

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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.