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Finding the Fourth Proportional to 242.05, 362.97 and 105.02

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Solution

The fourth proportional to 242.05, 362.97 and 105.02 is: 157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.05 : 362.97 = 105.02 : x
  2. Step 2: Convert to fraction form
    242.05/362.97 = 105.02/x
  3. Step 3: Cross multiply
    242.05x = 362.97 × 105.02
  4. Step 4: Simplify right side
    242.05x = 38,119.11
  5. Step 5: Solve for x
    x = 38,119.11/242.05
  6. Step 6: Final answer
    x = 157.48

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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.