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Finding the Fourth Proportional to 242.14, 333.78 and 192.94

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Solution

The fourth proportional to 242.14, 333.78 and 192.94 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 333.78 = 192.94 : x
  2. Step 2: Convert to fraction form
    242.14/333.78 = 192.94/x
  3. Step 3: Cross multiply
    242.14x = 333.78 × 192.94
  4. Step 4: Simplify right side
    242.14x = 64,399.51
  5. Step 5: Solve for x
    x = 64,399.51/242.14
  6. Step 6: Final answer
    x = 265.96

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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.