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Finding the Fourth Proportional to 255.48, 352.56 and 177.72

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Solution

The fourth proportional to 255.48, 352.56 and 177.72 is: 245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.48 : 352.56 = 177.72 : x
  2. Step 2: Convert to fraction form
    255.48/352.56 = 177.72/x
  3. Step 3: Cross multiply
    255.48x = 352.56 × 177.72
  4. Step 4: Simplify right side
    255.48x = 62,656.96
  5. Step 5: Solve for x
    x = 62,656.96/255.48
  6. Step 6: Final answer
    x = 245.25

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Why These Related Problems?

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