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Finding the Fourth Proportional to 221.34, 305.28 and 147.54

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Solution

The fourth proportional to 221.34, 305.28 and 147.54 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.34 : 305.28 = 147.54 : x
  2. Step 2: Convert to fraction form
    221.34/305.28 = 147.54/x
  3. Step 3: Cross multiply
    221.34x = 305.28 × 147.54
  4. Step 4: Simplify right side
    221.34x = 45,041.01
  5. Step 5: Solve for x
    x = 45,041.01/221.34
  6. Step 6: Final answer
    x = 203.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.