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Finding the Fourth Proportional to 149.51, 224.27 and 61.67

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Solution

The fourth proportional to 149.51, 224.27 and 61.67 is: 92.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 224.27 = 61.67 : x
  2. Step 2: Convert to fraction form
    149.51/224.27 = 61.67/x
  3. Step 3: Cross multiply
    149.51x = 224.27 × 61.67
  4. Step 4: Simplify right side
    149.51x = 13,830.98
  5. Step 5: Solve for x
    x = 13,830.98/149.51
  6. Step 6: Final answer
    x = 92.51

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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.