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Finding the Fourth Proportional to 187.21, 282.21 and 174.66

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Solution

The fourth proportional to 187.21, 282.21 and 174.66 is: 263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.21 : 282.21 = 174.66 : x
  2. Step 2: Convert to fraction form
    187.21/282.21 = 174.66/x
  3. Step 3: Cross multiply
    187.21x = 282.21 × 174.66
  4. Step 4: Simplify right side
    187.21x = 49,292.94
  5. Step 5: Solve for x
    x = 49,292.94/187.21
  6. Step 6: Final answer
    x = 263.31

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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.