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Finding the Fourth Proportional to 242.14, 362.94 and 105.26

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Solution

The fourth proportional to 242.14, 362.94 and 105.26 is: 157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 362.94 = 105.26 : x
  2. Step 2: Convert to fraction form
    242.14/362.94 = 105.26/x
  3. Step 3: Cross multiply
    242.14x = 362.94 × 105.26
  4. Step 4: Simplify right side
    242.14x = 38,203.06
  5. Step 5: Solve for x
    x = 38,203.06/242.14
  6. Step 6: Final answer
    x = 157.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.