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Finding the Fourth Proportional to 187.04, 282.02 and 174.29

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Solution

The fourth proportional to 187.04, 282.02 and 174.29 is: 262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.04 : 282.02 = 174.29 : x
  2. Step 2: Convert to fraction form
    187.04/282.02 = 174.29/x
  3. Step 3: Cross multiply
    187.04x = 282.02 × 174.29
  4. Step 4: Simplify right side
    187.04x = 49,150.98
  5. Step 5: Solve for x
    x = 49,150.98/187.04
  6. Step 6: Final answer
    x = 262.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.