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Finding the Fourth Proportional to 255.70, 352.90 and 150.78

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Solution

The fourth proportional to 255.70, 352.90 and 150.78 is: 208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 352.90 = 150.78 : x
  2. Step 2: Convert to fraction form
    255.70/352.90 = 150.78/x
  3. Step 3: Cross multiply
    255.70x = 352.90 × 150.78
  4. Step 4: Simplify right side
    255.70x = 53,210.26
  5. Step 5: Solve for x
    x = 53,210.26/255.70
  6. Step 6: Final answer
    x = 208.10

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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.