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Finding the Fourth Proportional to 149.00, 223.34 and 56.41

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Solution

The fourth proportional to 149.00, 223.34 and 56.41 is: 84.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.00 : 223.34 = 56.41 : x
  2. Step 2: Convert to fraction form
    149.00/223.34 = 56.41/x
  3. Step 3: Cross multiply
    149.00x = 223.34 × 56.41
  4. Step 4: Simplify right side
    149.00x = 12,597.91
  5. Step 5: Solve for x
    x = 12,597.91/149.00
  6. Step 6: Final answer
    x = 84.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.