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Finding the Fourth Proportional to 221.58, 305.87 and 151.87

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Solution

The fourth proportional to 221.58, 305.87 and 151.87 is: 209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.58 : 305.87 = 151.87 : x
  2. Step 2: Convert to fraction form
    221.58/305.87 = 151.87/x
  3. Step 3: Cross multiply
    221.58x = 305.87 × 151.87
  4. Step 4: Simplify right side
    221.58x = 46,452.48
  5. Step 5: Solve for x
    x = 46,452.48/221.58
  6. Step 6: Final answer
    x = 209.64

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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.