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Finding the Fourth Proportional to 178.98, 267.08 and 167.58

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Solution

The fourth proportional to 178.98, 267.08 and 167.58 is: 250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.98 : 267.08 = 167.58 : x
  2. Step 2: Convert to fraction form
    178.98/267.08 = 167.58/x
  3. Step 3: Cross multiply
    178.98x = 267.08 × 167.58
  4. Step 4: Simplify right side
    178.98x = 44,756.43
  5. Step 5: Solve for x
    x = 44,756.43/178.98
  6. Step 6: Final answer
    x = 250.06

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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.