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Finding the Fourth Proportional to 269.40, 371.76 and 174.77

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Solution

The fourth proportional to 269.40, 371.76 and 174.77 is: 241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 371.76 = 174.77 : x
  2. Step 2: Convert to fraction form
    269.40/371.76 = 174.77/x
  3. Step 3: Cross multiply
    269.40x = 371.76 × 174.77
  4. Step 4: Simplify right side
    269.40x = 64,970.64
  5. Step 5: Solve for x
    x = 64,970.64/269.40
  6. Step 6: Final answer
    x = 241.17

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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.