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Finding the Fourth Proportional to 187.71, 280.02 and 174.75

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Solution

The fourth proportional to 187.71, 280.02 and 174.75 is: 260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.71 : 280.02 = 174.75 : x
  2. Step 2: Convert to fraction form
    187.71/280.02 = 174.75/x
  3. Step 3: Cross multiply
    187.71x = 280.02 × 174.75
  4. Step 4: Simplify right side
    187.71x = 48,933.50
  5. Step 5: Solve for x
    x = 48,933.50/187.71
  6. Step 6: Final answer
    x = 260.69

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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.