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Finding the Fourth Proportional to 186.96, 257.90 and 152.03

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Solution

The fourth proportional to 186.96, 257.90 and 152.03 is: 209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.96 : 257.90 = 152.03 : x
  2. Step 2: Convert to fraction form
    186.96/257.90 = 152.03/x
  3. Step 3: Cross multiply
    186.96x = 257.90 × 152.03
  4. Step 4: Simplify right side
    186.96x = 39,208.54
  5. Step 5: Solve for x
    x = 39,208.54/186.96
  6. Step 6: Final answer
    x = 209.72

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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.