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Finding the Fourth Proportional to 148.10, 221.72 and 135.77

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Solution

The fourth proportional to 148.10, 221.72 and 135.77 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.10 : 221.72 = 135.77 : x
  2. Step 2: Convert to fraction form
    148.10/221.72 = 135.77/x
  3. Step 3: Cross multiply
    148.10x = 221.72 × 135.77
  4. Step 4: Simplify right side
    148.10x = 30,101.14
  5. Step 5: Solve for x
    x = 30,101.14/148.10
  6. Step 6: Final answer
    x = 203.26

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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.