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Finding the Fourth Proportional to 269.21, 370.77 and 232.35

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Solution

The fourth proportional to 269.21, 370.77 and 232.35 is: 320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.21 : 370.77 = 232.35 : x
  2. Step 2: Convert to fraction form
    269.21/370.77 = 232.35/x
  3. Step 3: Cross multiply
    269.21x = 370.77 × 232.35
  4. Step 4: Simplify right side
    269.21x = 86,147.83
  5. Step 5: Solve for x
    x = 86,147.83/269.21
  6. Step 6: Final answer
    x = 320.01

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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.