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Finding the Fourth Proportional to 223.10, 307.86 and 149.54

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Solution

The fourth proportional to 223.10, 307.86 and 149.54 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.10 : 307.86 = 149.54 : x
  2. Step 2: Convert to fraction form
    223.10/307.86 = 149.54/x
  3. Step 3: Cross multiply
    223.10x = 307.86 × 149.54
  4. Step 4: Simplify right side
    223.10x = 46,037.38
  5. Step 5: Solve for x
    x = 46,037.38/223.10
  6. Step 6: Final answer
    x = 206.35

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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.