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Finding the Fourth Proportional to 221.52, 305.64 and 147.86

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Solution

The fourth proportional to 221.52, 305.64 and 147.86 is: 204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 305.64 = 147.86 : x
  2. Step 2: Convert to fraction form
    221.52/305.64 = 147.86/x
  3. Step 3: Cross multiply
    221.52x = 305.64 × 147.86
  4. Step 4: Simplify right side
    221.52x = 45,191.93
  5. Step 5: Solve for x
    x = 45,191.93/221.52
  6. Step 6: Final answer
    x = 204.01

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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.