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Finding the Fourth Proportional to 178.18, 267.34 and 97.07

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Solution

The fourth proportional to 178.18, 267.34 and 97.07 is: 145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.18 : 267.34 = 97.07 : x
  2. Step 2: Convert to fraction form
    178.18/267.34 = 97.07/x
  3. Step 3: Cross multiply
    178.18x = 267.34 × 97.07
  4. Step 4: Simplify right side
    178.18x = 25,950.69
  5. Step 5: Solve for x
    x = 25,950.69/178.18
  6. Step 6: Final answer
    x = 145.64

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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.