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Finding the Fourth Proportional to 241.32, 332.93 and 153.84

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Solution

The fourth proportional to 241.32, 332.93 and 153.84 is: 212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.32 : 332.93 = 153.84 : x
  2. Step 2: Convert to fraction form
    241.32/332.93 = 153.84/x
  3. Step 3: Cross multiply
    241.32x = 332.93 × 153.84
  4. Step 4: Simplify right side
    241.32x = 51,218.34
  5. Step 5: Solve for x
    x = 51,218.34/241.32
  6. Step 6: Final answer
    x = 212.24

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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.