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Finding the Fourth Proportional to 186.23, 257.10 and 142.01

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Solution

The fourth proportional to 186.23, 257.10 and 142.01 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.23 : 257.10 = 142.01 : x
  2. Step 2: Convert to fraction form
    186.23/257.10 = 142.01/x
  3. Step 3: Cross multiply
    186.23x = 257.10 × 142.01
  4. Step 4: Simplify right side
    186.23x = 36,509.49
  5. Step 5: Solve for x
    x = 36,509.49/186.23
  6. Step 6: Final answer
    x = 196.05

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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.