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Finding the Fourth Proportional to 187.52, 258.60 and 122

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Solution

The fourth proportional to 187.52, 258.60 and 122 is: 168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 258.60 = 122 : x
  2. Step 2: Convert to fraction form
    187.52/258.60 = 122/x
  3. Step 3: Cross multiply
    187.52x = 258.60 × 122
  4. Step 4: Simplify right side
    187.52x = 31,549.20
  5. Step 5: Solve for x
    x = 31,549.20/187.52
  6. Step 6: Final answer
    x = 168.24

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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.