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Finding the Fourth Proportional to 221.12, 305.04 and 152

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Solution

The fourth proportional to 221.12, 305.04 and 152 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.12 : 305.04 = 152 : x
  2. Step 2: Convert to fraction form
    221.12/305.04 = 152/x
  3. Step 3: Cross multiply
    221.12x = 305.04 × 152
  4. Step 4: Simplify right side
    221.12x = 46,366.08
  5. Step 5: Solve for x
    x = 46,366.08/221.12
  6. Step 6: Final answer
    x = 209.69

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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.