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Finding the Fourth Proportional to 239.72, 330.53 and 180.77

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Solution

The fourth proportional to 239.72, 330.53 and 180.77 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.72 : 330.53 = 180.77 : x
  2. Step 2: Convert to fraction form
    239.72/330.53 = 180.77/x
  3. Step 3: Cross multiply
    239.72x = 330.53 × 180.77
  4. Step 4: Simplify right side
    239.72x = 59,747.35
  5. Step 5: Solve for x
    x = 59,747.35/239.72
  6. Step 6: Final answer
    x = 249.24

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Why These Related Problems?

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