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Finding the Fourth Proportional to 277.68, 415.71 and 186.15

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Solution

The fourth proportional to 277.68, 415.71 and 186.15 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.68 : 415.71 = 186.15 : x
  2. Step 2: Convert to fraction form
    277.68/415.71 = 186.15/x
  3. Step 3: Cross multiply
    277.68x = 415.71 × 186.15
  4. Step 4: Simplify right side
    277.68x = 77,384.42
  5. Step 5: Solve for x
    x = 77,384.42/277.68
  6. Step 6: Final answer
    x = 278.68

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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.