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Finding the Fourth Proportional to 179.38, 267.99 and 148.70

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Solution

The fourth proportional to 179.38, 267.99 and 148.70 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.38 : 267.99 = 148.70 : x
  2. Step 2: Convert to fraction form
    179.38/267.99 = 148.70/x
  3. Step 3: Cross multiply
    179.38x = 267.99 × 148.70
  4. Step 4: Simplify right side
    179.38x = 39,851.06
  5. Step 5: Solve for x
    x = 39,851.06/179.38
  6. Step 6: Final answer
    x = 222.16

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