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Finding the Fourth Proportional to 255.11, 382.69 and 101.05

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Solution

The fourth proportional to 255.11, 382.69 and 101.05 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.11 : 382.69 = 101.05 : x
  2. Step 2: Convert to fraction form
    255.11/382.69 = 101.05/x
  3. Step 3: Cross multiply
    255.11x = 382.69 × 101.05
  4. Step 4: Simplify right side
    255.11x = 38,669.99
  5. Step 5: Solve for x
    x = 38,669.99/255.11
  6. Step 6: Final answer
    x = 151.58

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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.