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Finding the Fourth Proportional to 187.24, 258.08 and 128.92

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Solution

The fourth proportional to 187.24, 258.08 and 128.92 is: 177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.24 : 258.08 = 128.92 : x
  2. Step 2: Convert to fraction form
    187.24/258.08 = 128.92/x
  3. Step 3: Cross multiply
    187.24x = 258.08 × 128.92
  4. Step 4: Simplify right side
    187.24x = 33,271.67
  5. Step 5: Solve for x
    x = 33,271.67/187.24
  6. Step 6: Final answer
    x = 177.70

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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.