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Finding the Fourth Proportional to 241.54, 362.34 and 87.42

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Solution

The fourth proportional to 241.54, 362.34 and 87.42 is: 131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.54 : 362.34 = 87.42 : x
  2. Step 2: Convert to fraction form
    241.54/362.34 = 87.42/x
  3. Step 3: Cross multiply
    241.54x = 362.34 × 87.42
  4. Step 4: Simplify right side
    241.54x = 31,675.76
  5. Step 5: Solve for x
    x = 31,675.76/241.54
  6. Step 6: Final answer
    x = 131.14

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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.