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Finding the Fourth Proportional to 222.14, 306.18 and 152.08

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Solution

The fourth proportional to 222.14, 306.18 and 152.08 is: 209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.14 : 306.18 = 152.08 : x
  2. Step 2: Convert to fraction form
    222.14/306.18 = 152.08/x
  3. Step 3: Cross multiply
    222.14x = 306.18 × 152.08
  4. Step 4: Simplify right side
    222.14x = 46,563.09
  5. Step 5: Solve for x
    x = 46,563.09/222.14
  6. Step 6: Final answer
    x = 209.61

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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.