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Finding the Fourth Proportional to 186.77, 257.84 and 145.23

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Solution

The fourth proportional to 186.77, 257.84 and 145.23 is: 200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.77 : 257.84 = 145.23 : x
  2. Step 2: Convert to fraction form
    186.77/257.84 = 145.23/x
  3. Step 3: Cross multiply
    186.77x = 257.84 × 145.23
  4. Step 4: Simplify right side
    186.77x = 37,445.38
  5. Step 5: Solve for x
    x = 37,445.38/186.77
  6. Step 6: Final answer
    x = 200.49

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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.