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Finding the Fourth Proportional to 186.02, 278.93 and 83.42

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Solution

The fourth proportional to 186.02, 278.93 and 83.42 is: 125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.02 : 278.93 = 83.42 : x
  2. Step 2: Convert to fraction form
    186.02/278.93 = 83.42/x
  3. Step 3: Cross multiply
    186.02x = 278.93 × 83.42
  4. Step 4: Simplify right side
    186.02x = 23,266.53
  5. Step 5: Solve for x
    x = 23,266.53/186.02
  6. Step 6: Final answer
    x = 125.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.