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Finding the Fourth Proportional to 223.07, 307.81 and 123.47

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Solution

The fourth proportional to 223.07, 307.81 and 123.47 is: 170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.07 : 307.81 = 123.47 : x
  2. Step 2: Convert to fraction form
    223.07/307.81 = 123.47/x
  3. Step 3: Cross multiply
    223.07x = 307.81 × 123.47
  4. Step 4: Simplify right side
    223.07x = 38,006.45
  5. Step 5: Solve for x
    x = 38,006.45/223.07
  6. Step 6: Final answer
    x = 170.38

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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.