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Finding the Fourth Proportional to 187.09, 280.85 and 177.53

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Solution

The fourth proportional to 187.09, 280.85 and 177.53 is: 266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.09 : 280.85 = 177.53 : x
  2. Step 2: Convert to fraction form
    187.09/280.85 = 177.53/x
  3. Step 3: Cross multiply
    187.09x = 280.85 × 177.53
  4. Step 4: Simplify right side
    187.09x = 49,857.01
  5. Step 5: Solve for x
    x = 49,857.01/187.09
  6. Step 6: Final answer
    x = 266.49

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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.