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Finding the Fourth Proportional to 186.29, 257.12 and 142.14

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Solution

The fourth proportional to 186.29, 257.12 and 142.14 is: 196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.29 : 257.12 = 142.14 : x
  2. Step 2: Convert to fraction form
    186.29/257.12 = 142.14/x
  3. Step 3: Cross multiply
    186.29x = 257.12 × 142.14
  4. Step 4: Simplify right side
    186.29x = 36,547.82
  5. Step 5: Solve for x
    x = 36,547.82/186.29
  6. Step 6: Final answer
    x = 196.19

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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.