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Finding the Fourth Proportional to 349.07, 524.06 and 184.66

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Solution

The fourth proportional to 349.07, 524.06 and 184.66 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.07 : 524.06 = 184.66 : x
  2. Step 2: Convert to fraction form
    349.07/524.06 = 184.66/x
  3. Step 3: Cross multiply
    349.07x = 524.06 × 184.66
  4. Step 4: Simplify right side
    349.07x = 96,772.92
  5. Step 5: Solve for x
    x = 96,772.92/349.07
  6. Step 6: Final answer
    x = 277.23

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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.