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Finding the Fourth Proportional to 320.40, 442.13 and 180.53

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Solution

The fourth proportional to 320.40, 442.13 and 180.53 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.40 : 442.13 = 180.53 : x
  2. Step 2: Convert to fraction form
    320.40/442.13 = 180.53/x
  3. Step 3: Cross multiply
    320.40x = 442.13 × 180.53
  4. Step 4: Simplify right side
    320.40x = 79,814.62
  5. Step 5: Solve for x
    x = 79,814.62/320.40
  6. Step 6: Final answer
    x = 249.11

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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.