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Finding the Fourth Proportional to 366.72, 506.16 and 251.16

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Solution

The fourth proportional to 366.72, 506.16 and 251.16 is: 346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.72 : 506.16 = 251.16 : x
  2. Step 2: Convert to fraction form
    366.72/506.16 = 251.16/x
  3. Step 3: Cross multiply
    366.72x = 506.16 × 251.16
  4. Step 4: Simplify right side
    366.72x = 127,127.15
  5. Step 5: Solve for x
    x = 127,127.15/366.72
  6. Step 6: Final answer
    x = 346.66

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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.