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Finding the Fourth Proportional to 179.41, 248.13 and 160.93

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Solution

The fourth proportional to 179.41, 248.13 and 160.93 is: 222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.41 : 248.13 = 160.93 : x
  2. Step 2: Convert to fraction form
    179.41/248.13 = 160.93/x
  3. Step 3: Cross multiply
    179.41x = 248.13 × 160.93
  4. Step 4: Simplify right side
    179.41x = 39,931.56
  5. Step 5: Solve for x
    x = 39,931.56/179.41
  6. Step 6: Final answer
    x = 222.57

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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.