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Finding the Fourth Proportional to 223.24, 308.13 and 130.06

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Solution

The fourth proportional to 223.24, 308.13 and 130.06 is: 179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.24 : 308.13 = 130.06 : x
  2. Step 2: Convert to fraction form
    223.24/308.13 = 130.06/x
  3. Step 3: Cross multiply
    223.24x = 308.13 × 130.06
  4. Step 4: Simplify right side
    223.24x = 40,075.39
  5. Step 5: Solve for x
    x = 40,075.39/223.24
  6. Step 6: Final answer
    x = 179.52

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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.