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Finding the Fourth Proportional to 149.20, 223.78 and 53

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Solution

The fourth proportional to 149.20, 223.78 and 53 is: 79.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.20 : 223.78 = 53 : x
  2. Step 2: Convert to fraction form
    149.20/223.78 = 53/x
  3. Step 3: Cross multiply
    149.20x = 223.78 × 53
  4. Step 4: Simplify right side
    149.20x = 11,860.34
  5. Step 5: Solve for x
    x = 11,860.34/149.20
  6. Step 6: Final answer
    x = 79.49

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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.