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Finding the Fourth Proportional to 255.31, 382.97 and 93.00

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Solution

The fourth proportional to 255.31, 382.97 and 93.00 is: 139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.31 : 382.97 = 93.00 : x
  2. Step 2: Convert to fraction form
    255.31/382.97 = 93.00/x
  3. Step 3: Cross multiply
    255.31x = 382.97 × 93.00
  4. Step 4: Simplify right side
    255.31x = 35,613.83
  5. Step 5: Solve for x
    x = 35,613.83/255.31
  6. Step 6: Final answer
    x = 139.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.