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Finding the Fourth Proportional to 241.16, 332.86 and 153.82

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Solution

The fourth proportional to 241.16, 332.86 and 153.82 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.16 : 332.86 = 153.82 : x
  2. Step 2: Convert to fraction form
    241.16/332.86 = 153.82/x
  3. Step 3: Cross multiply
    241.16x = 332.86 × 153.82
  4. Step 4: Simplify right side
    241.16x = 51,200.53
  5. Step 5: Solve for x
    x = 51,200.53/241.16
  6. Step 6: Final answer
    x = 212.31

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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.