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Finding the Fourth Proportional to 187.22, 258.21 and 125.08

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Solution

The fourth proportional to 187.22, 258.21 and 125.08 is: 172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.22 : 258.21 = 125.08 : x
  2. Step 2: Convert to fraction form
    187.22/258.21 = 125.08/x
  3. Step 3: Cross multiply
    187.22x = 258.21 × 125.08
  4. Step 4: Simplify right side
    187.22x = 32,296.26
  5. Step 5: Solve for x
    x = 32,296.26/187.22
  6. Step 6: Final answer
    x = 172.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.