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Finding the Fourth Proportional to 320.66, 442.53 and 180.77

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Solution

The fourth proportional to 320.66, 442.53 and 180.77 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.66 : 442.53 = 180.77 : x
  2. Step 2: Convert to fraction form
    320.66/442.53 = 180.77/x
  3. Step 3: Cross multiply
    320.66x = 442.53 × 180.77
  4. Step 4: Simplify right side
    320.66x = 79,997.25
  5. Step 5: Solve for x
    x = 79,997.25/320.66
  6. Step 6: Final answer
    x = 249.47

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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.