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Finding the Fourth Proportional to 222.97, 307.82 and 153.07

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Solution

The fourth proportional to 222.97, 307.82 and 153.07 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.97 : 307.82 = 153.07 : x
  2. Step 2: Convert to fraction form
    222.97/307.82 = 153.07/x
  3. Step 3: Cross multiply
    222.97x = 307.82 × 153.07
  4. Step 4: Simplify right side
    222.97x = 47,117.05
  5. Step 5: Solve for x
    x = 47,117.05/222.97
  6. Step 6: Final answer
    x = 211.32

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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.