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Finding the Fourth Proportional to 174.30, 240.50 and 112.10

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Solution

The fourth proportional to 174.30, 240.50 and 112.10 is: 154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.30 : 240.50 = 112.10 : x
  2. Step 2: Convert to fraction form
    174.30/240.50 = 112.10/x
  3. Step 3: Cross multiply
    174.30x = 240.50 × 112.10
  4. Step 4: Simplify right side
    174.30x = 26,958.29
  5. Step 5: Solve for x
    x = 26,958.29/174.30
  6. Step 6: Final answer
    x = 154.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.