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Finding the Fourth Proportional to 186.87, 278.18 and 178.03

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Solution

The fourth proportional to 186.87, 278.18 and 178.03 is: 265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.87 : 278.18 = 178.03 : x
  2. Step 2: Convert to fraction form
    186.87/278.18 = 178.03/x
  3. Step 3: Cross multiply
    186.87x = 278.18 × 178.03
  4. Step 4: Simplify right side
    186.87x = 49,522.99
  5. Step 5: Solve for x
    x = 49,522.99/186.87
  6. Step 6: Final answer
    x = 265.01

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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.