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Finding the Fourth Proportional to 186.81, 278.84 and 160.84

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Solution

The fourth proportional to 186.81, 278.84 and 160.84 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.81 : 278.84 = 160.84 : x
  2. Step 2: Convert to fraction form
    186.81/278.84 = 160.84/x
  3. Step 3: Cross multiply
    186.81x = 278.84 × 160.84
  4. Step 4: Simplify right side
    186.81x = 44,847.81
  5. Step 5: Solve for x
    x = 44,847.81/186.81
  6. Step 6: Final answer
    x = 240.08

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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.