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Finding the Fourth Proportional to 187.60, 258.85 and 146.08

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Solution

The fourth proportional to 187.60, 258.85 and 146.08 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 258.85 = 146.08 : x
  2. Step 2: Convert to fraction form
    187.60/258.85 = 146.08/x
  3. Step 3: Cross multiply
    187.60x = 258.85 × 146.08
  4. Step 4: Simplify right side
    187.60x = 37,814.33
  5. Step 5: Solve for x
    x = 37,814.33/187.60
  6. Step 6: Final answer
    x = 201.57

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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.