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Finding the Fourth Proportional to 187.00, 280.08 and 114.71

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Solution

The fourth proportional to 187.00, 280.08 and 114.71 is: 171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.00 : 280.08 = 114.71 : x
  2. Step 2: Convert to fraction form
    187.00/280.08 = 114.71/x
  3. Step 3: Cross multiply
    187.00x = 280.08 × 114.71
  4. Step 4: Simplify right side
    187.00x = 32,126.58
  5. Step 5: Solve for x
    x = 32,126.58/187.00
  6. Step 6: Final answer
    x = 171.80

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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.