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Finding the Fourth Proportional to 242.95, 365.25 and 241.75

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Solution

The fourth proportional to 242.95, 365.25 and 241.75 is: 363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.95 : 365.25 = 241.75 : x
  2. Step 2: Convert to fraction form
    242.95/365.25 = 241.75/x
  3. Step 3: Cross multiply
    242.95x = 365.25 × 241.75
  4. Step 4: Simplify right side
    242.95x = 88,299.19
  5. Step 5: Solve for x
    x = 88,299.19/242.95
  6. Step 6: Final answer
    x = 363.45

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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.