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Finding the Fourth Proportional to 255.59, 352.71 and 150.69

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Solution

The fourth proportional to 255.59, 352.71 and 150.69 is: 207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.59 : 352.71 = 150.69 : x
  2. Step 2: Convert to fraction form
    255.59/352.71 = 150.69/x
  3. Step 3: Cross multiply
    255.59x = 352.71 × 150.69
  4. Step 4: Simplify right side
    255.59x = 53,149.87
  5. Step 5: Solve for x
    x = 53,149.87/255.59
  6. Step 6: Final answer
    x = 207.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.