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Finding the Fourth Proportional to 241.74, 333.50 and 153.18

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Solution

The fourth proportional to 241.74, 333.50 and 153.18 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.74 : 333.50 = 153.18 : x
  2. Step 2: Convert to fraction form
    241.74/333.50 = 153.18/x
  3. Step 3: Cross multiply
    241.74x = 333.50 × 153.18
  4. Step 4: Simplify right side
    241.74x = 51,084.76
  5. Step 5: Solve for x
    x = 51,084.76/241.74
  6. Step 6: Final answer
    x = 211.32

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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.