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Finding the Fourth Proportional to 241.50, 332.81 and 154.02

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Solution

The fourth proportional to 241.50, 332.81 and 154.02 is: 212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.50 : 332.81 = 154.02 : x
  2. Step 2: Convert to fraction form
    241.50/332.81 = 154.02/x
  3. Step 3: Cross multiply
    241.50x = 332.81 × 154.02
  4. Step 4: Simplify right side
    241.50x = 51,258.63
  5. Step 5: Solve for x
    x = 51,258.63/241.50
  6. Step 6: Final answer
    x = 212.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.