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Finding the Fourth Proportional to 186.76, 278.07 and 184.20

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Solution

The fourth proportional to 186.76, 278.07 and 184.20 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 278.07 = 184.20 : x
  2. Step 2: Convert to fraction form
    186.76/278.07 = 184.20/x
  3. Step 3: Cross multiply
    186.76x = 278.07 × 184.20
  4. Step 4: Simplify right side
    186.76x = 51,220.49
  5. Step 5: Solve for x
    x = 51,220.49/186.76
  6. Step 6: Final answer
    x = 274.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.