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Finding the Fourth Proportional to 178.40, 267.10 and 149.11

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Solution

The fourth proportional to 178.40, 267.10 and 149.11 is: 223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.40 : 267.10 = 149.11 : x
  2. Step 2: Convert to fraction form
    178.40/267.10 = 149.11/x
  3. Step 3: Cross multiply
    178.40x = 267.10 × 149.11
  4. Step 4: Simplify right side
    178.40x = 39,826.24
  5. Step 5: Solve for x
    x = 39,826.24/178.40
  6. Step 6: Final answer
    x = 223.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.