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Finding the Fourth Proportional to 179.58, 270.52 and 177.96

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Solution

The fourth proportional to 179.58, 270.52 and 177.96 is: 268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.58 : 270.52 = 177.96 : x
  2. Step 2: Convert to fraction form
    179.58/270.52 = 177.96/x
  3. Step 3: Cross multiply
    179.58x = 270.52 × 177.96
  4. Step 4: Simplify right side
    179.58x = 48,141.74
  5. Step 5: Solve for x
    x = 48,141.74/179.58
  6. Step 6: Final answer
    x = 268.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.