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Finding the Fourth Proportional to 366.61, 506.25 and 235.85

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Solution

The fourth proportional to 366.61, 506.25 and 235.85 is: 325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.61 : 506.25 = 235.85 : x
  2. Step 2: Convert to fraction form
    366.61/506.25 = 235.85/x
  3. Step 3: Cross multiply
    366.61x = 506.25 × 235.85
  4. Step 4: Simplify right side
    366.61x = 119,396.53
  5. Step 5: Solve for x
    x = 119,396.53/366.61
  6. Step 6: Final answer
    x = 325.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.