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Finding the Fourth Proportional to 187.02, 258.08 and 138.10

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Solution

The fourth proportional to 187.02, 258.08 and 138.10 is: 190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.02 : 258.08 = 138.10 : x
  2. Step 2: Convert to fraction form
    187.02/258.08 = 138.10/x
  3. Step 3: Cross multiply
    187.02x = 258.08 × 138.10
  4. Step 4: Simplify right side
    187.02x = 35,640.85
  5. Step 5: Solve for x
    x = 35,640.85/187.02
  6. Step 6: Final answer
    x = 190.57

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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.