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Finding the Fourth Proportional to 349.60, 523.78 and 186.78

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Solution

The fourth proportional to 349.60, 523.78 and 186.78 is: 279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.60 : 523.78 = 186.78 : x
  2. Step 2: Convert to fraction form
    349.60/523.78 = 186.78/x
  3. Step 3: Cross multiply
    349.60x = 523.78 × 186.78
  4. Step 4: Simplify right side
    349.60x = 97,831.63
  5. Step 5: Solve for x
    x = 97,831.63/349.60
  6. Step 6: Final answer
    x = 279.84

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