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Finding the Fourth Proportional to 188.11, 259.36 and 184.06

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Solution

The fourth proportional to 188.11, 259.36 and 184.06 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.11 : 259.36 = 184.06 : x
  2. Step 2: Convert to fraction form
    188.11/259.36 = 184.06/x
  3. Step 3: Cross multiply
    188.11x = 259.36 × 184.06
  4. Step 4: Simplify right side
    188.11x = 47,737.80
  5. Step 5: Solve for x
    x = 47,737.80/188.11
  6. Step 6: Final answer
    x = 253.78

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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.