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Finding the Fourth Proportional to 223.24, 308.08 and 125.00

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Solution

The fourth proportional to 223.24, 308.08 and 125.00 is: 172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.24 : 308.08 = 125.00 : x
  2. Step 2: Convert to fraction form
    223.24/308.08 = 125.00/x
  3. Step 3: Cross multiply
    223.24x = 308.08 × 125.00
  4. Step 4: Simplify right side
    223.24x = 38,508.46
  5. Step 5: Solve for x
    x = 38,508.46/223.24
  6. Step 6: Final answer
    x = 172.50

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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.