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Finding the Fourth Proportional to 188.50, 260.79 and 165.16

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Solution

The fourth proportional to 188.50, 260.79 and 165.16 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.50 : 260.79 = 165.16 : x
  2. Step 2: Convert to fraction form
    188.50/260.79 = 165.16/x
  3. Step 3: Cross multiply
    188.50x = 260.79 × 165.16
  4. Step 4: Simplify right side
    188.50x = 43,072.08
  5. Step 5: Solve for x
    x = 43,072.08/188.50
  6. Step 6: Final answer
    x = 228.50

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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.