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Finding the Fourth Proportional to 188.71, 260.43 and 142.00

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Solution

The fourth proportional to 188.71, 260.43 and 142.00 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.71 : 260.43 = 142.00 : x
  2. Step 2: Convert to fraction form
    188.71/260.43 = 142.00/x
  3. Step 3: Cross multiply
    188.71x = 260.43 × 142.00
  4. Step 4: Simplify right side
    188.71x = 36,980.02
  5. Step 5: Solve for x
    x = 36,980.02/188.71
  6. Step 6: Final answer
    x = 195.96

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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.