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Finding the Fourth Proportional to 188.74, 260.16 and 162.43

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Solution

The fourth proportional to 188.74, 260.16 and 162.43 is: 223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.74 : 260.16 = 162.43 : x
  2. Step 2: Convert to fraction form
    188.74/260.16 = 162.43/x
  3. Step 3: Cross multiply
    188.74x = 260.16 × 162.43
  4. Step 4: Simplify right side
    188.74x = 42,258.17
  5. Step 5: Solve for x
    x = 42,258.17/188.74
  6. Step 6: Final answer
    x = 223.89

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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.