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Finding the Fourth Proportional to 188.86, 260.76 and 145.48

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Solution

The fourth proportional to 188.86, 260.76 and 145.48 is: 200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.86 : 260.76 = 145.48 : x
  2. Step 2: Convert to fraction form
    188.86/260.76 = 145.48/x
  3. Step 3: Cross multiply
    188.86x = 260.76 × 145.48
  4. Step 4: Simplify right side
    188.86x = 37,935.36
  5. Step 5: Solve for x
    x = 37,935.36/188.86
  6. Step 6: Final answer
    x = 200.87

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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.