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Finding the Fourth Proportional to 255.90, 353.28 and 151.02

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Solution

The fourth proportional to 255.90, 353.28 and 151.02 is: 208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.90 : 353.28 = 151.02 : x
  2. Step 2: Convert to fraction form
    255.90/353.28 = 151.02/x
  3. Step 3: Cross multiply
    255.90x = 353.28 × 151.02
  4. Step 4: Simplify right side
    255.90x = 53,352.74
  5. Step 5: Solve for x
    x = 53,352.74/255.90
  6. Step 6: Final answer
    x = 208.49

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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.