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Finding the Fourth Proportional to 242.51, 363.92 and 134.37

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Solution

The fourth proportional to 242.51, 363.92 and 134.37 is: 201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.51 : 363.92 = 134.37 : x
  2. Step 2: Convert to fraction form
    242.51/363.92 = 134.37/x
  3. Step 3: Cross multiply
    242.51x = 363.92 × 134.37
  4. Step 4: Simplify right side
    242.51x = 48,899.26
  5. Step 5: Solve for x
    x = 48,899.26/242.51
  6. Step 6: Final answer
    x = 201.64

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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.