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Finding the Fourth Proportional to 147.85, 220.48 and 136.03

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Solution

The fourth proportional to 147.85, 220.48 and 136.03 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.85 : 220.48 = 136.03 : x
  2. Step 2: Convert to fraction form
    147.85/220.48 = 136.03/x
  3. Step 3: Cross multiply
    147.85x = 220.48 × 136.03
  4. Step 4: Simplify right side
    147.85x = 29,991.89
  5. Step 5: Solve for x
    x = 29,991.89/147.85
  6. Step 6: Final answer
    x = 202.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.