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Finding the Fourth Proportional to 187.68, 280.49 and 173.09

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Solution

The fourth proportional to 187.68, 280.49 and 173.09 is: 258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.68 : 280.49 = 173.09 : x
  2. Step 2: Convert to fraction form
    187.68/280.49 = 173.09/x
  3. Step 3: Cross multiply
    187.68x = 280.49 × 173.09
  4. Step 4: Simplify right side
    187.68x = 48,547.75
  5. Step 5: Solve for x
    x = 48,547.75/187.68
  6. Step 6: Final answer
    x = 258.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.