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Finding the Fourth Proportional to 179.95, 248.36 and 117.84

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Solution

The fourth proportional to 179.95, 248.36 and 117.84 is: 162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.95 : 248.36 = 117.84 : x
  2. Step 2: Convert to fraction form
    179.95/248.36 = 117.84/x
  3. Step 3: Cross multiply
    179.95x = 248.36 × 117.84
  4. Step 4: Simplify right side
    179.95x = 29,265.21
  5. Step 5: Solve for x
    x = 29,265.21/179.95
  6. Step 6: Final answer
    x = 162.63

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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.