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Finding the Fourth Proportional to 222.53, 307.09 and 124.27

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Solution

The fourth proportional to 222.53, 307.09 and 124.27 is: 171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.53 : 307.09 = 124.27 : x
  2. Step 2: Convert to fraction form
    222.53/307.09 = 124.27/x
  3. Step 3: Cross multiply
    222.53x = 307.09 × 124.27
  4. Step 4: Simplify right side
    222.53x = 38,162.38
  5. Step 5: Solve for x
    x = 38,162.38/222.53
  6. Step 6: Final answer
    x = 171.50

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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.