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Finding the Fourth Proportional to 349.86, 524.52 and 118.61

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Solution

The fourth proportional to 349.86, 524.52 and 118.61 is: 177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.86 : 524.52 = 118.61 : x
  2. Step 2: Convert to fraction form
    349.86/524.52 = 118.61/x
  3. Step 3: Cross multiply
    349.86x = 524.52 × 118.61
  4. Step 4: Simplify right side
    349.86x = 62,214.63
  5. Step 5: Solve for x
    x = 62,214.63/349.86
  6. Step 6: Final answer
    x = 177.83

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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.