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Finding the Fourth Proportional to 149.35, 223.78 and 58.00

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Solution

The fourth proportional to 149.35, 223.78 and 58.00 is: 86.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.35 : 223.78 = 58.00 : x
  2. Step 2: Convert to fraction form
    149.35/223.78 = 58.00/x
  3. Step 3: Cross multiply
    149.35x = 223.78 × 58.00
  4. Step 4: Simplify right side
    149.35x = 12,979.59
  5. Step 5: Solve for x
    x = 12,979.59/149.35
  6. Step 6: Final answer
    x = 86.91

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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.