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Finding the Fourth Proportional to 147.86, 221.70 and 50.33

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Solution

The fourth proportional to 147.86, 221.70 and 50.33 is: 75.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 221.70 = 50.33 : x
  2. Step 2: Convert to fraction form
    147.86/221.70 = 50.33/x
  3. Step 3: Cross multiply
    147.86x = 221.70 × 50.33
  4. Step 4: Simplify right side
    147.86x = 11,158.90
  5. Step 5: Solve for x
    x = 11,158.90/147.86
  6. Step 6: Final answer
    x = 75.47

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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.