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Finding the Fourth Proportional to 242.53, 363.86 and 120.86

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Solution

The fourth proportional to 242.53, 363.86 and 120.86 is: 181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.53 : 363.86 = 120.86 : x
  2. Step 2: Convert to fraction form
    242.53/363.86 = 120.86/x
  3. Step 3: Cross multiply
    242.53x = 363.86 × 120.86
  4. Step 4: Simplify right side
    242.53x = 43,975.51
  5. Step 5: Solve for x
    x = 43,975.51/242.53
  6. Step 6: Final answer
    x = 181.32

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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.