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Finding the Fourth Proportional to 186.59, 257.31 and 145.07

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Solution

The fourth proportional to 186.59, 257.31 and 145.07 is: 200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.59 : 257.31 = 145.07 : x
  2. Step 2: Convert to fraction form
    186.59/257.31 = 145.07/x
  3. Step 3: Cross multiply
    186.59x = 257.31 × 145.07
  4. Step 4: Simplify right side
    186.59x = 37,327.96
  5. Step 5: Solve for x
    x = 37,327.96/186.59
  6. Step 6: Final answer
    x = 200.05

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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.