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Finding the Fourth Proportional to 241.53, 362.16 and 79.20

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Solution

The fourth proportional to 241.53, 362.16 and 79.20 is: 118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.53 : 362.16 = 79.20 : x
  2. Step 2: Convert to fraction form
    241.53/362.16 = 79.20/x
  3. Step 3: Cross multiply
    241.53x = 362.16 × 79.20
  4. Step 4: Simplify right side
    241.53x = 28,683.07
  5. Step 5: Solve for x
    x = 28,683.07/241.53
  6. Step 6: Final answer
    x = 118.76

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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.