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Finding the Fourth Proportional to 149.51, 224.30 and 77.36

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Solution

The fourth proportional to 149.51, 224.30 and 77.36 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 224.30 = 77.36 : x
  2. Step 2: Convert to fraction form
    149.51/224.30 = 77.36/x
  3. Step 3: Cross multiply
    149.51x = 224.30 × 77.36
  4. Step 4: Simplify right side
    149.51x = 17,350.92
  5. Step 5: Solve for x
    x = 17,350.92/149.51
  6. Step 6: Final answer
    x = 116.05

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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.