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Finding the Fourth Proportional to 245.34, 367.50 and 123.42

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Solution

The fourth proportional to 245.34, 367.50 and 123.42 is: 184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.34 : 367.50 = 123.42 : x
  2. Step 2: Convert to fraction form
    245.34/367.50 = 123.42/x
  3. Step 3: Cross multiply
    245.34x = 367.50 × 123.42
  4. Step 4: Simplify right side
    245.34x = 45,356.85
  5. Step 5: Solve for x
    x = 45,356.85/245.34
  6. Step 6: Final answer
    x = 184.87

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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.