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Finding the Fourth Proportional to 232.51, 320.49 and 185.80

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Solution

The fourth proportional to 232.51, 320.49 and 185.80 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.51 : 320.49 = 185.80 : x
  2. Step 2: Convert to fraction form
    232.51/320.49 = 185.80/x
  3. Step 3: Cross multiply
    232.51x = 320.49 × 185.80
  4. Step 4: Simplify right side
    232.51x = 59,544.51
  5. Step 5: Solve for x
    x = 59,544.51/232.51
  6. Step 6: Final answer
    x = 256.10

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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.