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Finding the Fourth Proportional to 223.60, 308.14 and 194.01

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Solution

The fourth proportional to 223.60, 308.14 and 194.01 is: 267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.60 : 308.14 = 194.01 : x
  2. Step 2: Convert to fraction form
    223.60/308.14 = 194.01/x
  3. Step 3: Cross multiply
    223.60x = 308.14 × 194.01
  4. Step 4: Simplify right side
    223.60x = 59,782.24
  5. Step 5: Solve for x
    x = 59,782.24/223.60
  6. Step 6: Final answer
    x = 267.36

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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.