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Finding the Fourth Proportional to 148.60, 221.80 and 144.96

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Solution

The fourth proportional to 148.60, 221.80 and 144.96 is: 216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.60 : 221.80 = 144.96 : x
  2. Step 2: Convert to fraction form
    148.60/221.80 = 144.96/x
  3. Step 3: Cross multiply
    148.60x = 221.80 × 144.96
  4. Step 4: Simplify right side
    148.60x = 32,152.13
  5. Step 5: Solve for x
    x = 32,152.13/148.60
  6. Step 6: Final answer
    x = 216.37

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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.