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Finding the Fourth Proportional to 149.40, 223.78 and 95.02

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Solution

The fourth proportional to 149.40, 223.78 and 95.02 is: 142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 223.78 = 95.02 : x
  2. Step 2: Convert to fraction form
    149.40/223.78 = 95.02/x
  3. Step 3: Cross multiply
    149.40x = 223.78 × 95.02
  4. Step 4: Simplify right side
    149.40x = 21,263.58
  5. Step 5: Solve for x
    x = 21,263.58/149.40
  6. Step 6: Final answer
    x = 142.33

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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.