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Finding the Fourth Proportional to 255.27, 382.80 and 147.14

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Solution

The fourth proportional to 255.27, 382.80 and 147.14 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.27 : 382.80 = 147.14 : x
  2. Step 2: Convert to fraction form
    255.27/382.80 = 147.14/x
  3. Step 3: Cross multiply
    255.27x = 382.80 × 147.14
  4. Step 4: Simplify right side
    255.27x = 56,323.28
  5. Step 5: Solve for x
    x = 56,323.28/255.27
  6. Step 6: Final answer
    x = 220.64

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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.