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Finding the Fourth Proportional to 187.57, 258.71 and 109.94

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Solution

The fourth proportional to 187.57, 258.71 and 109.94 is: 151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 258.71 = 109.94 : x
  2. Step 2: Convert to fraction form
    187.57/258.71 = 109.94/x
  3. Step 3: Cross multiply
    187.57x = 258.71 × 109.94
  4. Step 4: Simplify right side
    187.57x = 28,443.50
  5. Step 5: Solve for x
    x = 28,443.50/187.57
  6. Step 6: Final answer
    x = 151.64

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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.