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Finding the Fourth Proportional to 255.93, 382.22 and 233.25

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Solution

The fourth proportional to 255.93, 382.22 and 233.25 is: 348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.93 : 382.22 = 233.25 : x
  2. Step 2: Convert to fraction form
    255.93/382.22 = 233.25/x
  3. Step 3: Cross multiply
    255.93x = 382.22 × 233.25
  4. Step 4: Simplify right side
    255.93x = 89,152.82
  5. Step 5: Solve for x
    x = 89,152.82/255.93
  6. Step 6: Final answer
    x = 348.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.