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Finding the Fourth Proportional to 178.37, 267.35 and 101.37

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Solution

The fourth proportional to 178.37, 267.35 and 101.37 is: 151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.37 : 267.35 = 101.37 : x
  2. Step 2: Convert to fraction form
    178.37/267.35 = 101.37/x
  3. Step 3: Cross multiply
    178.37x = 267.35 × 101.37
  4. Step 4: Simplify right side
    178.37x = 27,100.76
  5. Step 5: Solve for x
    x = 27,100.76/178.37
  6. Step 6: Final answer
    x = 151.93

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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.