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Finding the Fourth Proportional to 222.64, 307.56 and 209.08

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Solution

The fourth proportional to 222.64, 307.56 and 209.08 is: 288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 307.56 = 209.08 : x
  2. Step 2: Convert to fraction form
    222.64/307.56 = 209.08/x
  3. Step 3: Cross multiply
    222.64x = 307.56 × 209.08
  4. Step 4: Simplify right side
    222.64x = 64,304.64
  5. Step 5: Solve for x
    x = 64,304.64/222.64
  6. Step 6: Final answer
    x = 288.83

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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.