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Finding the Fourth Proportional to 241.64, 362.63 and 180.89

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Solution

The fourth proportional to 241.64, 362.63 and 180.89 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.64 : 362.63 = 180.89 : x
  2. Step 2: Convert to fraction form
    241.64/362.63 = 180.89/x
  3. Step 3: Cross multiply
    241.64x = 362.63 × 180.89
  4. Step 4: Simplify right side
    241.64x = 65,596.14
  5. Step 5: Solve for x
    x = 65,596.14/241.64
  6. Step 6: Final answer
    x = 271.46

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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.