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Finding the Fourth Proportional to 179.18, 267.34 and 148.94

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Solution

The fourth proportional to 179.18, 267.34 and 148.94 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.18 : 267.34 = 148.94 : x
  2. Step 2: Convert to fraction form
    179.18/267.34 = 148.94/x
  3. Step 3: Cross multiply
    179.18x = 267.34 × 148.94
  4. Step 4: Simplify right side
    179.18x = 39,817.62
  5. Step 5: Solve for x
    x = 39,817.62/179.18
  6. Step 6: Final answer
    x = 222.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.