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Finding the Fourth Proportional to 188.07, 258.88 and 146.55

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Solution

The fourth proportional to 188.07, 258.88 and 146.55 is: 201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.07 : 258.88 = 146.55 : x
  2. Step 2: Convert to fraction form
    188.07/258.88 = 146.55/x
  3. Step 3: Cross multiply
    188.07x = 258.88 × 146.55
  4. Step 4: Simplify right side
    188.07x = 37,938.86
  5. Step 5: Solve for x
    x = 37,938.86/188.07
  6. Step 6: Final answer
    x = 201.73

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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.