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Finding the Fourth Proportional to 186.80, 257.56 and 155.76

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Solution

The fourth proportional to 186.80, 257.56 and 155.76 is: 214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 257.56 = 155.76 : x
  2. Step 2: Convert to fraction form
    186.80/257.56 = 155.76/x
  3. Step 3: Cross multiply
    186.80x = 257.56 × 155.76
  4. Step 4: Simplify right side
    186.80x = 40,117.55
  5. Step 5: Solve for x
    x = 40,117.55/186.80
  6. Step 6: Final answer
    x = 214.76

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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.