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Finding the Fourth Proportional to 188.28, 259.29 and 187.74

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Solution

The fourth proportional to 188.28, 259.29 and 187.74 is: 258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 259.29 = 187.74 : x
  2. Step 2: Convert to fraction form
    188.28/259.29 = 187.74/x
  3. Step 3: Cross multiply
    188.28x = 259.29 × 187.74
  4. Step 4: Simplify right side
    188.28x = 48,679.10
  5. Step 5: Solve for x
    x = 48,679.10/188.28
  6. Step 6: Final answer
    x = 258.55

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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.