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Finding the Fourth Proportional to 187.10, 258.02 and 142.77

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Solution

The fourth proportional to 187.10, 258.02 and 142.77 is: 196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.10 : 258.02 = 142.77 : x
  2. Step 2: Convert to fraction form
    187.10/258.02 = 142.77/x
  3. Step 3: Cross multiply
    187.10x = 258.02 × 142.77
  4. Step 4: Simplify right side
    187.10x = 36,837.17
  5. Step 5: Solve for x
    x = 36,837.17/187.10
  6. Step 6: Final answer
    x = 196.88

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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.