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Finding the Fourth Proportional to 223.00, 307.64 and 149.24

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Solution

The fourth proportional to 223.00, 307.64 and 149.24 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.00 : 307.64 = 149.24 : x
  2. Step 2: Convert to fraction form
    223.00/307.64 = 149.24/x
  3. Step 3: Cross multiply
    223.00x = 307.64 × 149.24
  4. Step 4: Simplify right side
    223.00x = 45,911.45
  5. Step 5: Solve for x
    x = 45,911.45/223.00
  6. Step 6: Final answer
    x = 205.89

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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.