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Finding the Fourth Proportional to 187.58, 280.83 and 149.12

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Solution

The fourth proportional to 187.58, 280.83 and 149.12 is: 223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.58 : 280.83 = 149.12 : x
  2. Step 2: Convert to fraction form
    187.58/280.83 = 149.12/x
  3. Step 3: Cross multiply
    187.58x = 280.83 × 149.12
  4. Step 4: Simplify right side
    187.58x = 41,875.22
  5. Step 5: Solve for x
    x = 41,875.22/187.58
  6. Step 6: Final answer
    x = 223.25

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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.